Variational Methods in Partially Ordered Spaces

Name: Variational Methods in Partially Ordered Spaces
Availability: InStock
ISBN: 9780387004525

ISBN-10: 0387004521

ISBN-13: 9780387004525

Edition: 2003

Authors: Alfred Gï¿½pfert, Hassan Riahi, Christiane Tammer, Constantin Zalinescu

List price: $54.99

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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 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,…

Book details

List price: $54.99
Copyright year: 2003
Publisher: Springer New York
Publication date: 7/30/2003
Binding: Hardcover
Pages: 350
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 1.628
Language: English



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