complementarity problems lecture notes in mathematics vol 1528

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Complementarity Equilibrium Efficiency And Economics

Author : G. Isac
ISBN : 9781475736236
Genre : Mathematics
File Size : 48. 92 MB
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In complementarity theory, which is a relatively new domain of applied mathematics, several kinds of mathematical models and problems related to the study of equilibrium are considered from the point of view of physics as well as economics. In this book the authors have combined complementarity theory, equilibrium of economical systems, and efficiency in Pareto's sense. The authors discuss the use of complementarity theory in the study of equilibrium of economic systems and present results they have obtained. In addition the authors present several new results in complementarity theory and several numerical methods for solving complementarity problems associated with the study of economic equilibrium. The most important notions of Pareto efficiency are also presented. Audience: Researchers and graduate students interested in complementarity theory, in economics, in optimization, and in applied mathematics.

Topics In Nonconvex Optimization

Author : Shashi K. Mishra
ISBN : 1441996400
Genre : Business & Economics
File Size : 36. 74 MB
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Nonconvex Optimization is a multi-disciplinary research field that deals with the characterization and computation of local/global minima/maxima of nonlinear, nonconvex, nonsmooth, discrete and continuous functions. Nonconvex optimization problems are frequently encountered in modeling real world systems for a very broad range of applications including engineering, mathematical economics, management science, financial engineering, and social science. This contributed volume consists of selected contributions from the Advanced Training Programme on Nonconvex Optimization and Its Applications held at Banaras Hindu University in March 2009. It aims to bring together new concepts, theoretical developments, and applications from these researchers. Both theoretical and applied articles are contained in this volume which adds to the state of the art research in this field. Topics in Nonconvex Optimization is suitable for advanced graduate students and researchers in this area.

Nonlinear Analysis And Variational Problems

Author : Panos M. Pardalos
ISBN : 9781441901583
Genre : Business & Economics
File Size : 23. 38 MB
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The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

Recent Advances In Nonsmooth Optimization

Author : Dingzhu Du
ISBN : 9810222653
Genre : Mathematics
File Size : 52. 33 MB
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Nonsmooth optimization covers the minimization or maximization of functions which do not have the differentiability properties required by classical methods. The field of nonsmooth optimization is significant, not only because of the existence of nondifferentiable functions arising directly in applications, but also because several important methods for solving difficult smooth problems lead directly to the need to solve nonsmooth problems, which are either smaller in dimension or simpler in structure.This book contains twenty five papers written by forty six authors from twenty countries in five continents. It includes papers on theory, algorithms and applications for problems with first-order nondifferentiability (the usual sense of nonsmooth optimization) second-order nondifferentiability, nonsmooth equations, nonsmooth variational inequalities and other problems related to nonsmooth optimization.

Generalized Convexity Nonsmooth Variational Inequalities And Nonsmooth Optimization

Author : Qamrul Hasan Ansari
ISBN : 9781439868201
Genre : Business & Economics
File Size : 44. 18 MB
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Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction. The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential. Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes.

The Journal Of Fuzzy Mathematics

Author :
ISBN : UOM:39015050422065
Genre : Fuzzy arithmetic
File Size : 73. 25 MB
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Communications De La Facult Des Sciences De L Universit D Ankara

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ISBN : UCAL:B4474368
Genre : Mathematics
File Size : 48. 53 MB
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Leray Schauder Type Alternatives Complementarity Problems And Variational Inequalities

Author : George Isac
ISBN : 9780387329000
Genre : Mathematics
File Size : 35. 20 MB
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This book is the first to discuss complementarity theory and variational inequalities using Leray–Schauder type alternatives. Complementarity theory, a relatively new domain in applied mathematics, has deep connections with several aspects of fundamental mathematics. The ideas and method presented in this book may be considered as a starting point for new developments. The book presents a new kind of application for the Leray–Schauder principle.

Communications De La Facult Des Sciences De L Universit D Ankara

Author : Ankara Üniversitesi. Fen Fakültesi
ISBN : UOM:39015046522366
Genre : Mathematics
File Size : 54. 48 MB
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Journal Of Zhejiang University

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ISBN : CHI:69373044
Genre : Science
File Size : 89. 19 MB
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