Ordered Structures And Applications

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Ordered Structures and Applications

Author : Marcel de Jeu,Ben de Pagter,Onno van Gaans,Mark Veraar
Publisher : Birkhäuser
Page : 507 pages
File Size : 51,7 Mb
Release : 2016-09-22
Category : Mathematics
ISBN : 9783319278421

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Ordered Structures and Applications by Marcel de Jeu,Ben de Pagter,Onno van Gaans,Mark Veraar Pdf

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.

Ordered Algebraic Structures

Author : W. Charles Holland
Publisher : CRC Press
Page : 214 pages
File Size : 52,8 Mb
Release : 2001-04-01
Category : Mathematics
ISBN : 9056993259

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Ordered Algebraic Structures by W. Charles Holland Pdf

This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.

Fixed Point Theory in Ordered Sets and Applications

Author : Siegfried Carl,Seppo Heikkilä
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 53,7 Mb
Release : 2010-11-17
Category : Mathematics
ISBN : 9781441975850

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Fixed Point Theory in Ordered Sets and Applications by Siegfried Carl,Seppo Heikkilä Pdf

This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.

Variable Ordering Structures in Vector Optimization

Author : Gabriele Eichfelder
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 55,7 Mb
Release : 2014-04-04
Category : Mathematics
ISBN : 9783642542831

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Variable Ordering Structures in Vector Optimization by Gabriele Eichfelder Pdf

This book provides an introduction to vector optimization with variable ordering structures, i.e., to optimization problems with a vector-valued objective function where the elements in the objective space are compared based on a variable ordering structure: instead of a partial ordering defined by a convex cone, we see a whole family of convex cones, one attached to each element of the objective space. The book starts by presenting several applications that have recently sparked new interest in these optimization problems, and goes on to discuss fundamentals and important results on a wide range of topics. The theory developed includes various optimality notions, linear and nonlinear scalarization functionals, optimality conditions of Fermat and Lagrange type, existence and duality results. The book closes with a collection of numerical approaches for solving these problems in practice.

Sets and Ordered Structures

Author : Sergiu Rudeanu
Publisher : Bentham Science Publishers
Page : 260 pages
File Size : 41,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9781608053384

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Sets and Ordered Structures by Sergiu Rudeanu Pdf

This e-book presents several basic methods and results of order theory that are currently used in various branches of mathematics. It presents topics that require a broad explanation in a concise and attractive way. Readers will easily identify problems/t

Ordered Structures and Partitions

Author : Richard P. Stanley
Publisher : American Mathematical Soc.
Page : 114 pages
File Size : 51,7 Mb
Release : 1972
Category : Combinatorial analysis
ISBN : 9780821818190

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Ordered Structures and Partitions by Richard P. Stanley Pdf

Real Algebraic Geometry and Ordered Structures

Author : Charles N. Delzell,James J. Madden
Publisher : American Mathematical Soc.
Page : 320 pages
File Size : 47,8 Mb
Release : 2000
Category : Geometry, Algebraic
ISBN : 9780821808047

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Real Algebraic Geometry and Ordered Structures by Charles N. Delzell,James J. Madden Pdf

This volume contains 16 carefully refereed articles by participants in the Special Semester and the AMS Special Session on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University (Baton Rouge). The 23 contributors to this volume were among the 75 mathematicians from 15 countries who participated in the special semester. Topics include the topology of real algebraic curves (Hilbert's 16th problem), moduli of real algebraic curves, effective sums of squares of real forms (Hilbert's 17th problem), efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, radial vector fields, exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, partially ordered and lattice-ordered rings, rings of continuous functions, spectra of rings, and abstract spaces of (higher-level) orderings and real places. This volume provides a good overview of the state of the art in this area in the 1990s. It includes both expository and original research papers by top workers in this thriving field. The authors and editors strived to make the volume useful to a wide audience (including students and researchers) interested in real algebraic geometry and ordered structures-two subjects that are obviously related, but seldom brought together.

Mathematical Topics on Representations of Ordered Structures and Utility Theory

Author : Gianni Bosi,María J. Campión,Juan C. Candeal,Esteban Indurain
Publisher : Springer Nature
Page : 376 pages
File Size : 46,9 Mb
Release : 2020-01-23
Category : Technology & Engineering
ISBN : 9783030342265

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Mathematical Topics on Representations of Ordered Structures and Utility Theory by Gianni Bosi,María J. Campión,Juan C. Candeal,Esteban Indurain Pdf

This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.

Sets and Ordered Structures

Author : Sergiu Rudeanu
Publisher : Unknown
Page : 253 pages
File Size : 40,9 Mb
Release : 2012
Category : Ordered sets
ISBN : 1608054993

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Sets and Ordered Structures by Sergiu Rudeanu Pdf

Applications of Nonlinear Analysis

Author : Themistocles M. Rassias
Publisher : Springer
Page : 931 pages
File Size : 50,6 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.

Lattice-Ordered Groups

Author : A.M. Glass,W.C. Holland
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400922839

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Lattice-Ordered Groups by A.M. Glass,W.C. Holland Pdf

A lattice-ordered group is a mathematical structure combining a (partial) order (lattice) structure and a group structure (on a set) in a compatible way. Thus it is a composite structure, or, a set carrying two or more simple structures in a compatible way. The field of lattice-ordered groups turn up on a wide range of mathematical fields ranging from functional analysis to universal algebra. These papers address various aspects of the field, with wide applicability for interested researchers.

Lattices and Ordered Algebraic Structures

Author : T.S. Blyth
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 52,9 Mb
Release : 2005-04-18
Category : Mathematics
ISBN : 9781852339050

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Lattices and Ordered Algebraic Structures by T.S. Blyth Pdf

"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS

Lattices and Ordered Algebraic Structures

Author : T.S. Blyth
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 49,7 Mb
Release : 2005-11-24
Category : Mathematics
ISBN : 9781846281273

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Lattices and Ordered Algebraic Structures by T.S. Blyth Pdf

"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS