Invexity and Optimization

Shashi Kant Mishra, Giorgio Giorgi (auth.)3540785612, 9783540785613, 3540785620, 9783540785620

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.

Table of contents :
Front Matter….Pages I-X
Introduction….Pages 1-9
Invex Functions (The Smooth Case)….Pages 11-38
η-Pseudolinearity: Invexity and Generalized Monotonicity….Pages 39-50
Extensions of Invexity to Nondifferentiable Functions….Pages 51-71
Invexity in Nonlinear Programming….Pages 73-113
Invex Functions in Multiobjective Programming….Pages 115-156
Variational and Control Problems Involving Invexity….Pages 157-207
Invexity for Some Special Functions and Problems….Pages 209-250
Back Matter….Pages 251-266