Invexity and Optimization

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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.

Author(s): Shashi Kant Mishra, Giorgio Giorgi (auth.)
Series: Nonconvex Optimization and Its Applications 88
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2008

Language: English
Pages: 266
City: Berlin
Tags: Optimization; Operations Research/Decision Theory

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