Invexity and Optimization

Front Cover
Springer Science & Business Media, Apr 24, 2008 - Mathematics - 266 pages
0 Reviews

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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Introduction
1
Invex Functions The Smooth Case 11
10
Invexity and Generalized Monotonicity
39
Extensions of Invexity to Nondifferentiable Functions
51
Invexity in Nonlinear Programming
73
Invex Functions in Multiobjective Programming 115
114
Variational and Control Problems Involving Invexity
157
Invexity for Some Special Functions and Problems
209
References
251
Index
265
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information