Invexity and Optimization

Shashi Kant Mishra, Giorgio Giorgi (auth.)3540785612, 978-3-540-78561-3, 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