Nonconvex Optimization and Its Applications

Mishra, Shashi K.; Giorgi, Giorgio

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.

Details

Published by: Springer

Publication Date: 2008-05-23

Format: Hardcover

ISBN-13: 9783540785613

DOI: 10.1007/978-3-540-78562-0

Dimensions: 235cm x155cm

Pages: 266