Convexity and Optimization

Abstract

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 programmin. Introduction; 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.