Equilibrium Problems and Applications

Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point theory, and optimization. Applications include models from mathematical economics, Nash equilibrium of non-cooperative games, and Browder variational inclusions. The content is self-contained and the book is mainly addressed to researchers in mathematics, economics and mathematical physics as well as to graduate students in applied nonlinear analysis. A rigorous mathematical analysis of Nash equilibrium type problems, which play a central role to describe network traffic models, competition games or problems arising in experimental economics Develops generic models relevant to mathematical economics and quantitative modeling of game theory, aiding economists to understand vital material without having to wade through complex proofs Reveals a number of surprising interactions among various equilibria topics, enabling readers to identify a common and unified approach to analysing problem sets Illustrates the deep features shared by several types of nonlinear problems, encouraging readers to develop further this unifying approach from other viewpoints into economic models in turn

Produk Detail:

  • Author : Gábor Kassay
  • Publisher : Academic Press
  • Pages : 440 pages
  • ISBN : 0128110309
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKEquilibrium Problems and Applications

Equilibrium Problems and Applications

Equilibrium Problems and Applications
  • Author : Gábor Kassay,Vicențiu Rădulescu
  • Publisher : Academic Press
  • Release : 09 October 2018
GET THIS BOOKEquilibrium Problems and Applications

Equilibrium Problems and Applications develops a unified variational approach to deal with single-valued, set-valued and quasi-equilibrium problems. The authors promote original results in relationship with classical contributions to the field of equilibrium problems. The content evolved in the general setting of topological vector spaces and it lies at the interplay between pure and applied nonlinear analysis, mathematical economics, and mathematical physics. This abstract approach is based on tools from various fields, including set-valued analysis, variational and hemivariational inequalities, fixed point

Equilibrium Problems and Variational Models

Equilibrium Problems and Variational Models
  • Author : P. Daniele,F. Giannessi,A. Maugeri
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2013
GET THIS BOOKEquilibrium Problems and Variational Models

The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title "Equilibrium Problems and Variational Models", which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis,

Variational Inequalities and Network Equilibrium Problems

Variational Inequalities and Network Equilibrium Problems
  • Author : F. Giannessi,A. Maugeri
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOKVariational Inequalities and Network Equilibrium Problems

This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the

Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC

Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC
  • Author : Didier Aussel,C.S. Lalitha
  • Publisher : Springer
  • Release : 03 April 2018
GET THIS BOOKGeneralized Nash Equilibrium Problems, Bilevel Programming and MPEC

The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints (MPEC). These problems interact through their mathematical analysis as well as their applications. The primary aim of the book is to present the modern tool of variational analysis and optimization, which are used to analyze these three classes of problems. All contributing authors are respected academicians, scientists and researchers from around the globe. These contributions are based on

Mathematical Analysis and Applications

Mathematical Analysis and Applications
  • Author : Sribatsa Nanda,G. P. Raja Sekhar
  • Publisher : Alpha Science Int'l Ltd.
  • Release : 18 October 2021
GET THIS BOOKMathematical Analysis and Applications

Intends to serve as an introduction to the knowledge in various areas like Fuzzy Topological spaces, Operator Theory, Variational Inequalities, and Number Theory and more. This book includes articles on Fuzzy functions, applications of Functional Analysis and Complementarity problems provide applications of classical areas.

Equilibrium Problems and Variational Models

Equilibrium Problems and Variational Models
  • Author : P. Daniele,Franco Giannessi,A. Maugeri
  • Publisher : Springer Science & Business Media
  • Release : 30 June 2003
GET THIS BOOKEquilibrium Problems and Variational Models

The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title "Equilibrium Problems and Variational Models", which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis,

Variational Analysis and Generalized Differentiation in Optimization and Control

Variational Analysis and Generalized Differentiation in Optimization and Control
  • Author : Regina S. Burachik,Jen-Chih Yao
  • Publisher : Springer Science & Business Media
  • Release : 25 November 2010
GET THIS BOOKVariational Analysis and Generalized Differentiation in Optimization and Control

This book presents some 20 papers describing recent developments in advanced variational analysis, optimization, and control systems, especially those based on modern variational techniques and tools of generalized differentiation.

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models
  • Author : F. Giannessi,A. Maugeri,Panos M. Pardalos
  • Publisher : Springer Science & Business Media
  • Release : 11 April 2006
GET THIS BOOKEquilibrium Problems: Nonsmooth Optimization and Variational Inequality Models

The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases. The book shows how many equilibrium problems follow a general law (the so-called user equilibrium condition). Such law allows us to express the problem in terms of variational inequalities. Variational inequalities provide a

Generalized Convexity and Related Topics

Generalized Convexity and Related Topics
  • Author : Igor V. Konnov,Dinh The Luc,Alexander M. Rubinov
  • Publisher : Springer Science & Business Media
  • Release : 22 November 2006
GET THIS BOOKGeneralized Convexity and Related Topics

The book contains invited papers by well-known experts on a wide range of topics (economics, variational analysis, probability etc.) closely related to convexity and generalized convexity, and refereed contributions of specialists from the world on current research on generalized convexity and applications, in particular, to optimization, economics and operations research.

Vector Variational Inequalities and Vector Optimization

Vector Variational Inequalities and Vector Optimization
  • Author : Qamrul Hasan Ansari,Elisabeth Köbis,Jen-Chih Yao
  • Publisher : Springer
  • Release : 31 October 2017
GET THIS BOOKVector Variational Inequalities and Vector Optimization

This book presents the mathematical theory of vector variational inequalities and their relations with vector optimization problems. It is the first-ever book to introduce well-posedness and sensitivity analysis for vector equilibrium problems. The first chapter provides basic notations and results from the areas of convex analysis, functional analysis, set-valued analysis and fixed-point theory for set-valued maps, as well as a brief introduction to variational inequalities and equilibrium problems. Chapter 2 presents an overview of analysis over cones, including continuity and convexity

Vector Variational Inequalities and Vector Equilibria

Vector Variational Inequalities and Vector Equilibria
  • Author : F. Giannessi
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2013
GET THIS BOOKVector Variational Inequalities and Vector Equilibria

The book deals with the mathematical theory of vector variational inequalities with special reference to equilibrium problems. Such models have been introduced recently to study new problems from mechanics, structural engineering, networks, and industrial management, and to revisit old ones. The common feature of these problems is that given by the presence of concurrent objectives and by the difficulty of identifying a global functional (like energy) to be extremized. The vector variational inequalities have the advantage of both the variational

New Trends in Emerging Complex Real Life Problems

New Trends in Emerging Complex Real Life Problems
  • Author : Patrizia Daniele,Laura Scrimali
  • Publisher : Springer
  • Release : 30 December 2018
GET THIS BOOKNew Trends in Emerging Complex Real Life Problems

This book gathers the contributions of the international conference “Optimization and Decision Science” (ODS2018), which was held at the Hotel Villa Diodoro, Taormina (Messina), Italy on September 10 to 13, 2018, and was organized by AIRO, the Italian Operations Research Society, in cooperation with the DMI (Department of Mathematics and Computer Science) of the University of Catania (Italy). The book offers state-of-the-art content on optimization, decisions science and problem solving methods, as well as their application in industrial and territorial systems. It highlights

Convergence Analysis of Proximal-like Methods for Variational Inequalities and Fixed Point Problems

Convergence Analysis of Proximal-like Methods for Variational Inequalities and Fixed Point Problems
  • Author : Nils Langenberg
  • Publisher : Logos Verlag Berlin GmbH
  • Release : 18 October 2021
GET THIS BOOKConvergence Analysis of Proximal-like Methods for Variational Inequalities and Fixed Point Problems

Several regularization methods for variational inequalities and fixed point problems are studied. Known convergence results especially require some kind of monotonicity of the problem data as well as, especially for Bregman-function-based algorithms, some additional assumption known as the cutting plane property. Unfortunately, these assumptions may be considered as rather restrictive e.g. in the framework of Nash equilibrium problems. This motivates the development of convergence results under weaker hypotheses which constitute the major subject of the present book. Studied methods