Stability Of Functional Equations In Random Normed Spaces

Author : Yeol Je Cho,Themistocles M. Rassias,Reza Saadati
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 48,8 Mb
Release : 2013-08-27
Category : Mathematics
ISBN : 9781461484776

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Stability of Functional Equations in Random Normed Spaces by Yeol Je Cho,Themistocles M. Rassias,Reza Saadati Pdf

This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research.

Author : Donald H. Hyers,George Isac,Themistocles M. Rassias
Publisher : Boston : Birkhäuser
Page : 336 pages
File Size : 48,7 Mb
Release : 1998
Category : Mathematics
ISBN : UOM:39015043146912

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Stability of Functional Equations in Several Variables by Donald H. Hyers,George Isac,Themistocles M. Rassias Pdf

A self-contained introduction to the concept for researchers and graduate students fluent in functional analysis, algebra, and topology. Presents both the classical results and current research, and investigates such related problems as the stability of the convex functional inequality and the stability of minimum points. Other topics include approximately additive and approximately linear mappings, functions with bonded nth differences, and the stability of the quadratic functional equation. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Yeol Je Cho,Choonkil Park,Themistocles M. Rassias,Reza Saadati
Publisher : Springer
Page : 343 pages
File Size : 41,6 Mb
Release : 2015-06-26
Category : Mathematics
ISBN : 9783319187082

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Stability of Functional Equations in Banach Algebras by Yeol Je Cho,Choonkil Park,Themistocles M. Rassias,Reza Saadati Pdf

Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach algebras are additive and R-linear or C-linear, the stability problems for additive functional equations and additive mappings are studied in detail. The latest results are discussed and examined in stability theory for new functional equations and functional inequalities in Banach algebras and C*-algebras, non-Archimedean Banach algebras, non-Archimedean C*-algebras, multi-Banach algebras and multi-C*-algebras. Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. Moreover, research mathematicians, physicists and engineers will benefit from the variety of old and new results, as well as theories and methods presented in this book.

Author : Janusz Brzdęk,Dorian Popa,Themistocles M. Rassias
Publisher : Springer Nature
Page : 514 pages
File Size : 52,8 Mb
Release : 2019-10-29
Category : Mathematics
ISBN : 9783030289720

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Ulam Type Stability by Janusz Brzdęk,Dorian Popa,Themistocles M. Rassias Pdf

This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-date insightful perspective and very resent research results on Ulam type stability of various classes of linear and nonlinear operators; in particular on the stability of many functional equations in a single and several variables (also in the lattice environments, Orlicz spaces, quasi-b-Banach spaces, and 2-Banach spaces) and some orthogonality relations (e.g., of Birkhoff–James). A variety of approaches are presented, but a particular emphasis is given to that of fixed points, with some new fixed point results and their applications provided. Besides these several other topics are considered that are somehow related to the Ulam stability such as: invariant means, geometry of Banach function modules, queueing systems, semi-inner products and parapreseminorms, subdominant eigenvalue location of a bordered diagonal matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included. Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.

Author : Nicholas J. Daras,Themistocles M. Rassias
Publisher : Springer
Page : 521 pages
File Size : 52,5 Mb
Release : 2018-07-05
Category : Mathematics
ISBN : 9783319743257

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Modern Discrete Mathematics and Analysis by Nicholas J. Daras,Themistocles M. Rassias Pdf

A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

Author : Sandra Pinelas,John R. Graef,Stefan Hilger,Peter Kloeden,Christos Schinas
Publisher : Springer Nature
Page : 754 pages
File Size : 54,7 Mb
Release : 2020-10-21
Category : Mathematics
ISBN : 9783030563233

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Differential and Difference Equations with Applications by Sandra Pinelas,John R. Graef,Stefan Hilger,Peter Kloeden,Christos Schinas Pdf

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019. First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. The book includes studies on boundary value problems; Markov models; time scales; non-linear difference equations; multi-scale modeling; and myriad applications.

Author : Hemen Dutta,Vediyappan Govindan,Choonkil Park,R. Vadivel
Publisher : Springer Nature
Page : 260 pages
File Size : 44,8 Mb
Release : 2023-08-14
Category : Technology & Engineering
ISBN : 9783031337048

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Stability of Some Advanced Functional Equations in Various Spaces by Hemen Dutta,Vediyappan Govindan,Choonkil Park,R. Vadivel Pdf

The book aims to present several new results concerning solution and various stabilities of some functional equations in various spaces. The chapters consider various spaces to investigate stabilities justifying that stability results hold well in those spaces. It also includes results proving new insight to analyze approximate solutions to a given equation whenever uncertainty occurs. The presentation of the book should be useful for graduated students and researchers interested in the theory of functional equations to understand the useful ideas involved and problems to study further.

Author : John Michael Rassias,E Thandapani,K Ravi,B V Senthil Kumar
Publisher : World Scientific Publishing Company
Page : 396 pages
File Size : 47,5 Mb
Release : 2017-03-20
Category : Electronic
ISBN : 9789813147621

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Functional Equations and Inequalities by John Michael Rassias,E Thandapani,K Ravi,B V Senthil Kumar Pdf

This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. Request Inspection Copy

Author : Panos M. Pardalos,Pando G. Georgiev,Hari M. Srivastava
Publisher : Springer Science & Business Media
Page : 898 pages
File Size : 53,7 Mb
Release : 2012-06-02
Category : Mathematics
ISBN : 9781461434986

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Nonlinear Analysis by Panos M. Pardalos,Pando G. Georgiev,Hari M. Srivastava Pdf

The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.

Author : Safoura Rezaei Aderyani
Publisher : Springer Nature
Page : 580 pages
File Size : 45,6 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 9783031555640

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Towards Ulam Type Multi Stability Analysis by Safoura Rezaei Aderyani Pdf

Author : S. A. Mohiuddine,Bipan Hazarika,Hemant Kumar Nashine
Publisher : Springer Nature
Page : 277 pages
File Size : 54,7 Mb
Release : 2022-12-07
Category : Mathematics
ISBN : 9789811961168

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Approximation Theory, Sequence Spaces and Applications by S. A. Mohiuddine,Bipan Hazarika,Hemant Kumar Nashine Pdf

This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.

Author : Themistocles M. Rassias
Publisher : Springer
Page : 931 pages
File Size : 55,6 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.

Author : Themistocles M. Rassias,Janusz Brzdek
Publisher : Springer Science & Business Media
Page : 744 pages
File Size : 48,5 Mb
Release : 2011-09-18
Category : Mathematics
ISBN : 9781461400554

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Functional Equations in Mathematical Analysis by Themistocles M. Rassias,Janusz Brzdek Pdf

The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.

Author : Themistocles M. Rassias,Panos M. Pardalos
Publisher : Springer
Page : 663 pages
File Size : 41,8 Mb
Release : 2016-06-14
Category : Mathematics
ISBN : 9783319313382

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Essays in Mathematics and its Applications by Themistocles M. Rassias,Panos M. Pardalos Pdf

This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.

Author : Themistocles M. Rassias,Panos M. Pardalos
Publisher : Springer Nature
Page : 694 pages
File Size : 44,6 Mb
Release : 2019-12-12
Category : Mathematics
ISBN : 9783030313395

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Mathematical Analysis and Applications by Themistocles M. Rassias,Panos M. Pardalos Pdf

An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.