Recent Advances In Nonlinear Analysis And Optimization With Applications

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Recent Advances in Nonlinear Analysis and Optimization with Applications

Savin Treanţă
Recent Advances in Nonlinear Analysis and Optimization with Applications Book PDF

Author : Savin Treanţă
Publisher : Cambridge Scholars Publishing
Page : 146 pages
File Size : 55,7 Mb
Release : 2020-09-30
Category : Mathematics
ISBN : 9781527560383

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Recent Advances in Nonlinear Analysis and Optimization with Applications by Savin Treanţă Pdf

This book focuses on recent advances in nonlinear analysis and optimization with important applications drawn from various fields, such as artificial intelligence, genetic algorithms, optimization problems under uncertainty, and fuzzy logic. Specifically, it is devoted to nonlinear problems associated with optimization which have some connection with applications. The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.

Nonlinear Analysis and Optimization II

Simeon Reich,Aleksandr Davidovich Ioffe,Arie Leizarowitz
Nonlinear Analysis and Optimization II Book PDF

Author : Simeon Reich,Aleksandr Davidovich Ioffe,Arie Leizarowitz
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 48,9 Mb
Release : 2010
Category : Mathematical optimization
ISBN : 9780821848357

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Nonlinear Analysis and Optimization II by Simeon Reich,Aleksandr Davidovich Ioffe,Arie Leizarowitz Pdf

This volume is the second of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in important fields of mathematics. This volume contains articles on optimization. Topics covered include the calculus of variations, constrained optimization problems, mathematical economics, metric regularity, nonsmooth analysis, optimal control, subdifferential calculus, time scales and transportation traffic. The companion volume (Contemporary Mathematics, Volume 513) is devoted to nonlinear analysis. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: J.-P. Aubin and S. Martin -- Travel time tubes regulating transportation traffic; R. Baier and E. Farkhi -- The directed subdifferential of DC functions; Z. Balanov, W. Krawcewicz, and H. Ruan -- Periodic solutions to $O(2)$-symmetric variational problems: $O(2) \times S^1$- equivariant gradient degree approach; J. F. Bonnans and N. P. Osmolovskii -- Quadratic growth conditions in optimal control problems; J. M. Borwein and S. Sciffer -- An explicit non-expansive function whose subdifferential is the entire dual ball; G. Buttazzo and G. Carlier -- Optimal spatial pricing strategies with transportation costs; R. A. C. Ferreira and D. F. M. Torres -- Isoperimetric problems of the calculus of variations on time scales; M. Foss and N. Randriampiry -- Some two-dimensional $\mathcal A$-quasiaffine functions; F. Giannessi, A. Moldovan, and L. Pellegrini -- Metric regular maps and regularity for constrained extremum problems; V. Y. Glizer -- Linear-quadratic optimal control problem for singularly perturbed systems with small delays; T. Maruyama -- Existence of periodic solutions for Kaldorian business fluctuations; D. Mozyrska and E. Paw'uszewicz -- Delta and nabla monomials and generalized polynomial series on time scales; D. Pallaschke and R. Urba'ski -- Morse indexes for piecewise linear functions; J.-P. Penot -- Error bounds, calmness and their applications in nonsmooth analysis; F. Rampazzo -- Commutativity of control vector fields and ""inf-commutativity""; A. J. Zaslavski -- Stability of exact penalty for classes of constrained minimization problems in finite-dimensional spaces. (CONM/514)

Applications of Nonlinear Analysis

Themistocles M. Rassias
Applications of Nonlinear Analysis Book PDF

Author : Themistocles M. Rassias
Publisher : Springer
Page : 931 pages
File Size : 51,9 Mb
Release : 2018-06-29
Category : Mathematics
ISBN : 9783319898155

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Applications of Nonlinear Analysis by Themistocles M. Rassias Pdf

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.

Recent Advances in Optimization and its Applications in Engineering

Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Recent Advances in Optimization and its Applications in Engineering Book PDF

Author : Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 46,7 Mb
Release : 2010-09-21
Category : Technology & Engineering
ISBN : 9783642125980

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Recent Advances in Optimization and its Applications in Engineering by Moritz Diehl,Francois Glineur,Elias Jarlebring,Wim Michiels Pdf

Mathematical optimization encompasses both a rich and rapidly evolving body of fundamental theory, and a variety of exciting applications in science and engineering. The present book contains a careful selection of articles on recent advances in optimization theory, numerical methods, and their applications in engineering. It features in particular new methods and applications in the fields of optimal control, PDE-constrained optimization, nonlinear optimization, and convex optimization. The authors of this volume took part in the 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14-18, 2009. The volume contains a selection of reviewed articles contributed by the conference speakers as well as three survey articles by plenary speakers and two papers authored by the winners of the best talk and best poster prizes awarded at BFG09. Researchers and graduate students in applied mathematics, computer science, and many branches of engineering will find in this book an interesting and useful collection of recent ideas on the methods and applications of optimization.

Recent Advances In Nonlinear Analysis - Proceedings Of The International Conference On Nonlinear Analysis

Michel Marie Chipot,Dong-ho Tsai,Chang Shou Lin
Recent Advances In Nonlinear Analysis Proceedings Of The International Conference On Nonlinear Analysis Book PDF

Author : Michel Marie Chipot,Dong-ho Tsai,Chang Shou Lin
Publisher : World Scientific
Page : 268 pages
File Size : 48,7 Mb
Release : 2008-02-22
Category : Mathematics
ISBN : 9789814474610

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Recent Advances In Nonlinear Analysis - Proceedings Of The International Conference On Nonlinear Analysis by Michel Marie Chipot,Dong-ho Tsai,Chang Shou Lin Pdf

This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research.

Nonlinear Analysis and Optimization with Applications

Wei-Shih Du,Liang-Ju Chu,Fei He
Nonlinear Analysis and Optimization with Applications Book PDF

Author : Wei-Shih Du,Liang-Ju Chu,Fei He
Publisher : Mdpi AG
Page : 208 pages
File Size : 40,7 Mb
Release : 2022-01-17
Category : Mathematics
ISBN : 3036520457

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Nonlinear Analysis and Optimization with Applications by Wei-Shih Du,Liang-Ju Chu,Fei He Pdf

Nonlinear analysis has wide and significant applications in many areas of mathematics, including functional analysis, variational analysis, nonlinear optimization, convex analysis, nonlinear ordinary and partial differential equations, dynamical system theory, mathematical economics, game theory, signal processing, control theory, data mining, and so forth. Optimization problems have been intensively investigated, and various feasible methods in analyzing convergence of algorithms have been developed over the last half century. In this Special Issue, we will focus on the connection between nonlinear analysis and optimization as well as their applications to integrate basic science into the real world.

Nonlinear Optimization and Applications

Gianni Pillo,F. Giannessi
Nonlinear Optimization and Applications Book PDF

Author : Gianni Pillo,F. Giannessi
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 50,7 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9781489902894

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Nonlinear Optimization and Applications by Gianni Pillo,F. Giannessi Pdf

This volume contains the edited texts of the lectures presented at the workshop on Nonlinear Optimization: Theory and Applications, held in Erice at the "G. Stampacchia" School of Mathematics of the "E. Majorana" International Centre for Scientific Culture June 13-21, 1995. The meeting was conceived to review and discuss recent advances and promising research trends concerning theory, algorithms, and innovative applications in the field This is a field of mathematics which is providing viable of Nonlinear Optimization. tools in engineering, in economics and in other applied sciences, and which is giving a great contribution also in the solution of the more practiced linear optimization prob lems. The meeting was attended by approximately 70 people from 18 countries. Besides the lectures, several formal and informal discussions took place. The result was a broad exposure providing a wide and deep understanding of the present research achievements in the field. We wish to express our appreciation for the active contributions of all the partici pants in the meeting. Our gratitude is due to the Ettore Majorana Center in Erice, which offered its facilities and stimulating environment: its staff was certainly instrumental for the success of the meeting. Our gratitude is also due to Francisco Facchinei and Massino Roma for the time spent in the organization of the workshop, and to Giuliana Cai for the careful typesetting of this volume.

Nonlinear Analysis and Global Optimization

Themistocles M. Rassias,Panos M. Pardalos
Nonlinear Analysis and Global Optimization Book PDF

Author : Themistocles M. Rassias,Panos M. Pardalos
Publisher : Springer Nature
Page : 484 pages
File Size : 46,6 Mb
Release : 2021-02-26
Category : Mathematics
ISBN : 9783030617325

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Nonlinear Analysis and Global Optimization by Themistocles M. Rassias,Panos M. Pardalos Pdf

This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

An Introduction to Nonlinear Analysis: Applications

Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
An Introduction to Nonlinear Analysis Applications Book PDF

Author : Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
Publisher : Springer Science & Business Media
Page : 844 pages
File Size : 50,6 Mb
Release : 2003-01-31
Category : Computers
ISBN : 0306474565

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An Introduction to Nonlinear Analysis: Applications by Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou Pdf

This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.

Convex Analysis and Nonlinear Optimization

Jonathan Borwein,Adrian S. Lewis
Convex Analysis and Nonlinear Optimization Book PDF

Author : Jonathan Borwein,Adrian S. Lewis
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 49,5 Mb
Release : 2010-05-05
Category : Mathematics
ISBN : 9780387312569

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Convex Analysis and Nonlinear Optimization by Jonathan Borwein,Adrian S. Lewis Pdf

Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.

Nonlinear Analysis, Differential Equations and Control

Francis Clarke,R.J. Stern
Nonlinear Analysis Differential Equations and Control Book PDF

Author : Francis Clarke,R.J. Stern
Publisher : Springer Science & Business Media
Page : 626 pages
File Size : 42,9 Mb
Release : 1999-03-31
Category : Mathematics
ISBN : 0792356659

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Nonlinear Analysis, Differential Equations and Control by Francis Clarke,R.J. Stern Pdf

Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.

Recent Advances in Nonlinear Analysis

Michel Chipot
Recent Advances in Nonlinear Analysis Book PDF

Author : Michel Chipot
Publisher : World Scientific
Page : 268 pages
File Size : 55,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812709257

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Recent Advances in Nonlinear Analysis by Michel Chipot Pdf

This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research.

Nonlinear Optimization and Related Topics

Gianni Pillo,F. Giannessi
Nonlinear Optimization and Related Topics Book PDF

Author : Gianni Pillo,F. Giannessi
Publisher : Springer Science & Business Media
Page : 484 pages
File Size : 41,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475732269

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Nonlinear Optimization and Related Topics by Gianni Pillo,F. Giannessi Pdf

This volume contains the edited texts of the lectures presented at the Workshop on Nonlinear Optimization held in Erice, Sicily, at the "G. Stampacchia" School of Mathematics of the "E. Majorana" Centre for Scientific Culture, June 23 -July 2, 1998. In the tradition of these meetings, the main purpose was to review and discuss recent advances and promising research trends concerning theory, algorithms and innovative applications in the field of Nonlinear Optimization, and of related topics such as Convex Optimization, Nonsmooth Optimization, Variational Inequalities and Complementarity Problems. The meeting was attended by 83 people from 21 countries. Besides the lectures, several formal and informal discussions took place. The result was a wide and deep knowledge of the present research tendencies in the field. We wish to express our appreciation for the active contribution of all the par ticipants in the meeting. Our gratitude is due to the Ettore Majorana Centre in Erice, which offered its facilities and rewarding environment: its staff was certainly instrumental for the success of the meeting. Our gratitude is also due to Francisco Facchinei and Massimo Roma for the effort and time devoted as members of the Organising Committee. We are indebted to the Italian National Research Council, and in particular to the Group on Functional Analysis and its Applications and to the Committees on Engineering Sciences and on Information Sciences and Technolo gies for their financial support. Finally, we address our thanks to Kluwer Academic Publishers for having offered to publish this volume.

Applied Nonlinear Analysis

V. Lakshmikantham
Applied Nonlinear Analysis Book PDF

Author : V. Lakshmikantham
Publisher : Elsevier
Page : 746 pages
File Size : 49,9 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483272061

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Applied Nonlinear Analysis by V. Lakshmikantham Pdf

Applied Nonlinear Analysis contains the proceedings of an International Conference on Applied Nonlinear Analysis, held at the University of Texas at Arlington, on April 20-22, 1978. The papers explore advances in applied nonlinear analysis, with emphasis on reaction-diffusion equations; optimization theory; constructive techniques in numerical analysis; and applications to physical and life sciences. In the area of reaction-diffusion equations, the discussions focus on nonlinear oscillations; rotating spiral waves; stability and asymptotic behavior; discrete-time models in population genetics; and predator-prey systems. In optimization theory, the following topics are considered: inverse and ill-posed problems with application to geophysics; conjugate gradients; and quasi-Newton methods with applications to large-scale optimization; sequential conjugate gradient-restoration algorithm for optimal control problems with non-differentiable constraints; differential geometric methods in nonlinear programming; and equilibria in policy formation games with random voting. In the area of constructive techniques in numerical analysis, numerical and approximate solutions of boundary value problems for ordinary and partial differential equations are examined, along with finite element analysis and constructive techniques for accretive and monotone operators. In addition, the book explores turbulent fluid flows; stability problems for Hopf bifurcation; product integral representation of Volterra equations with delay; weak solutions of variational problems, nonlinear integration on measures; and fixed point theory. This monograph will be helpful to students, practitioners, and researchers in the field of mathematics.

Large-Scale Nonlinear Optimization

Gianni Pillo,Massimo Roma
Large Scale Nonlinear Optimization Book PDF

Author : Gianni Pillo,Massimo Roma
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 54,6 Mb
Release : 2006-06-03
Category : Mathematics
ISBN : 9780387300658

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Large-Scale Nonlinear Optimization by Gianni Pillo,Massimo Roma Pdf

This book reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research. Individual chapters, contributed by eminent authorities, provide an up-to-date overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications.