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.

Duality
Generalized Concexity
Optimality
SOIA
V-invex Functions
Vector Optimization
optimization
programming

• Front Matter
• General Introduction
• V-Invexity in Nonlinear Multiobjective Programming
• Multiobjective Fractional Programming
• Multiobjective Nonsmooth Programming
• Composite Multiobjective Nonsmooth Programming
• Continuous-time Programming
• Back Matter

G.B. Pant Univ. of Agriculture & Technology, India
Shashi Kant Mishra

Chinese Academy of Sciences, China
Shouyang Wang

City University of Hong Kong, China
Kin Keung Lai

Book Title
V-Invex Functions and Vector Optimization

Authors
Shashi Kant Mishra, Shouyang Wang, Kin Keung Lai

DOI
https://doi.org/10.1007/978-0-387-75446-8

Hardcover ISBN
978-0-387-75445-1
Published: 17 October 2007

Softcover ISBN
978-1-4419-4528-0
Published: 23 November 2010

eBook ISBN
978-0-387-75446-8
Published: 17 November 2007

Series ISSN
1931-6828

Series E-ISSN
1931-6836

Edition Number
1

Number of Pages
VIII, 164

Topics
Optimization, Applications of Mathematics, Calculus of Variations and Optimal Control; Optimization, Operations Research/Decision Theory, Operations Research, Management Science, Innovation/Technology Management