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Vector Variational Inequalities and Vector Equilibria Mathematical Theories
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Vector Variational Inequalities and Vector Equilibria Mathematical Theories

Giannessi, F.
ISBN-10: 0792360265
ISBN-13: 9780792360261

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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 ones and vector optimization which are found as special cases. Among several applications, the equilibrium flows on a network receive special attention. Audience: The book is addressed to academic researchers as well as industrial ones, in the fields of mathematics, engineering, mathematical programming, control theory, operations research, computer science, and economics.
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Preface
Vector Equilibrium Problems and Vector Variational Inequalities
Generalized Vector Variational - Like Inequalities and their Scalarization
Existence of Solutions for Generalized Vector Variational - Like Inequalities
On Gap Functions for Vector Variational Inequalities
Existence of Solutions for Vector Variational Inequalities
On the Existence of Solutions to Vector Complementarity Problems
Vector Variational Inequalities and Modelling of a Continuum Traffic Equilibrium Problem
Generalized Vector Variationa - Like Inequalities without Monotonicity
Generalized Vector Variationa - Like Inequalities with C[subscript x] - [eta] - Pseudomonotone Set - Valued Mappings
A Vector Variationa - Like Inequality for Compact Acyclic Multifunctions and its Applications
On the Theory of Vector Optimization and Variational Inequalities. Image Space Analysis and Separation
Scalarization Methods for Vector Variational Inequality
Super Efficiency for a Vector Equilibrium in Locally Convex Topological Vector Spaces
The Existence of Essentially Connected Components of Solutions for Variational Inequalities
Existence of Solutions for Vector Saddle - Point Problems
Vector Variational Inequality as a Tool for Studying Vector Optimization Problems
Vector Variational Inequalities in a Hausdorff Topological Vector Space
Vector Ekeland Variational Principle
Convergence of Approximate Solutions and Values in Parametric Vector Optimization
On Minty Vector Variational Inequality
Generalized Vector Variational - Like Inequalities
On Vector Complementarity Systems and Vector Variational Inequalities
Generalized Vector Variational Inequalities
Vector Equilibrium Problems with Set - Valued Mappings
On Some Equivalent Conditions of Vector Variational Inequalities
On Inverse Vector Variational Inequalities
Vector Variational Inequalities, Vector Equilibrium Flow and Vector Optimization
On Monotone and Strongly Monotone Vector Variational Inequalities
Connectedness and Stability of the Solution Sets in Linear Fractional Vector Optimization Problems
Vector Variational Inequality and Implicit Vector Complementarity Problems
References on Vector Variational Inequalities
Subject Index
Contributors

Edition: 2000
Publisher: Springer
Binding: Trade Cloth
Pages: 532
Size: 6.75" wide x 9.50" long x 1.50" tall
Weight: 2.13 lbs.
Language: English

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