Invexity and Optimization

by Shashi K. Mishra, Giorgio Giorgi

Overview

Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.

Product Details

ISBN-13:	9783642097317
Publisher:	Springer Berlin Heidelberg
Publication date:	12/22/2010
Series:	Nonconvex Optimization and Its Applications , #88
Edition description:	Softcover reprint of hardcover 1st ed. 2008
Pages:	266
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Invex Functions (The Smooth Case).-—-Pseudolinearity: Invexity and Generalized Monotonicity.- Extensions of Invexity to Nondifferentiable Functions.- Invexity in Nonlinear Programming.- Invex Functions in Multiobjective Programming.- Variational and Control Problems Involving Invexity.- Invexity for Some Special Functions and Problems.

Editorial Reviews

From the reviews:

"The present book is the first monograph that presents an overview (and also some new results) on invex and related functions in various types of optimization problems … . The book is well written and well organized. … accessible textbook which can be useful as a reference for researchers and graduate students." (Vicente Novo, Mathematical Reviews, Issue 2009 C)

From the Publisher