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    Variational Methods in Partially Ordered Spaces

    ISBN-10: 0387004521
    ISBN-13: 9780387004525
    Author(s): Alfred G�pfert, Hassan Riahi, Christiane Tammer, Constantin Zalinescu
    Description: In mathematical modeling of processes one often encounters optimization problems involving more than one objective function, so that Multiobjective Optimization (or Vector Optimization) has received new impetus. The growing interest in  More...
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    List Price: $94.00
    Publisher: Springer
    Binding: Hardcover
    Pages: 350
    Size: 6.25" wide x 9.00" long x 0.75" tall
    Weight: 1.430
    Language: English

    In mathematical modeling of processes one often encounters optimization problems involving more than one objective function, so that Multiobjective Optimization (or Vector Optimization) has received new impetus. The growing interest in multiobjective problems, both from the theoretical point of view and as it concerns applications to real problems, asks for a general scheme which embraces several existing developments and stimulates new ones. In this book the authors provide the newest results and applications of this quickly growing field. This book will be of interest to graduate students in mathematics, economics, and engineering, as well as researchers in pure and applied mathematics, economics, engineering, geography, and town planning. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book.

    Preface
    List of Figures
    Examples
    Cones in Vector Spaces
    Equilibrium Problems
    Location Problems in Town Planning
    Multicriteria Control Problems
    Multicriteria Fractional Programming Problems
    Stochastic Efficiency in a Set
    Functional Analysis over Cones
    Order Structures
    Functional Analysis and Convexity
    Separation Theorems for Not Necessarily Convex Sets
    Convexity Notions for Sets and Multifunctions
    Continuity Notions for Multifunctions
    Continuity Properties of Multifunctions Under Convexity Assumptions
    Tangent Cones and Differentiability of Multifunctions
    Optimization in Partially Ordered Spaces
    Solution Concepts
    Existence Results for Efficient Points
    Continuity Properties with Respect to a Scalarization Parameter
    Well-Posedness of Vector Optimization Problems
    Continuity Properties
    Sensitivity of Vector Optimization Problems
    Duality
    Vector Equilibrium Problems and Related Topics
    Applications to Vector Variational Inequalities
    Minimal-Point Theorems in Product Spaces and Corresponding Variational Principles
    Optimality Conditions
    Applications
    Approximation Problems
    Solution Procedures
    Location Problems
    Multicriteria Fractional Programming
    Multicriteria Control Problems
    Stochastic Efficiency in a Set
    List of Abbreviations
    References
    Index

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