V-Invex Functions and Vector Optimization

✍ Scribed by Shashi Kant Mishra, Shouyang Wang, Kin Keung Lai (auth.)

• Publisher: Springer US
• Year: 2008
• Tongue: English
• Leaves: 169
• Series: Optimization and Its Applications 14
• Edition: 1
• Category: Library

✦ Synopsis

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 1990’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

Front Matter....Pages i-viii
General Introduction....Pages 1-12
V-Invexity in Nonlinear Multiobjective Programming....Pages 13-37
Multiobjective Fractional Programming....Pages 39-61
Multiobjective Nonsmooth Programming....Pages 63-88
Composite Multiobjective Nonsmooth Programming....Pages 89-111
Continuous-time Programming....Pages 113-146
Back Matter....Pages 147-164

✦ Subjects

Optimization; Calculus of Variations and Optimal Control; Optimization; Operations Research/Decision Theory; Operations Research, Mathematical Programming; Technology Management; Mathematical Modeling and Industrial Mathematics