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    Vector Variational Inequalities and Vector Equilibria Mathematical Theories

    ISBN-10: 0792360265
    ISBN-13: 9780792360261
    Author(s): Franco Giannessi
    Description: 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  More...
    List price: $409.00
    Buy it from: $393.40
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    List Price: $409.00
    Publisher: Springer
    Binding: Hardcover
    Pages: 526
    Size: 6.75" wide x 9.50" long x 1.50" tall
    Weight: 2.134
    Language: English

    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.

    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

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