V-invex Functions and Vector Optimization

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Format: Hardcover
Pub. Date: 2007-10-17
Publisher(s): Springer Verlag
List Price: $119.99

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Summary

V-INVEX FUNCTIONS AND VECTOR OPTIMIZATION summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past several decades. Specifically, the book focuses on V-invex functions in vector optimization that have grown out of the work of Jeyakumar and Mond in the 1990a??s. V-invex functions are areas in which there has been much interest because it allows researchers and practitioners to address and provide better solutions to problems that are nonlinear, multi-objective, fractional, and continuous in nature. Hence, V-invex functions have permitted work on a whole new class of vector optimization applications. There has been considerable work on vector optimization by some highly distinguished researchers including Kuhn, Tucker, Geoffrion, Mangasarian, Von Neuman, Schaiible, Ziemba, etc. The authors have integrated this related research into their book and demonstrate the wide context from which the area has grown and continues to grow. The result is a well-synthesized, accessible, and usable treatment for students, researchers, and practitioners in the areas of OR, optimization, applied mathematics, engineering, and their work relating to a wide range of problems which include financial institutions, logistics, transportation, traffic management, etc.

Table of Contents

General introductionp. 1
V-invexity in nonlinear multiobjective programmingp. 13
Multiobjective fractional programmingp. 39
Multiobjective nonsmooth programmingp. 63
Composite multiobjective nonsmooth programmingp. 89
Continuous-time programmingp. 113
Referencesp. 147
Subject indexp. 161
Author indexp. 163
Table of Contents provided by Blackwell. All Rights Reserved.

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