<p>From the reviews:</p> <p></p> <p>"The present book is the first monograph that presents an overview (and also some new results) on invex and related functions in various types of optimization problems … . The book is well written and well organized. … accessible textbook which can be useful as a reference for researchers and graduate students." (Vicente Novo, Mathematical Reviews, Issue 2009 C)</p>
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.
Les mer
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.
Les mer
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.
Les mer
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.
Les mer
From the reviews:
"The present book is the first monograph that presents an overview (and also some new results) on invex and related functions in various types of optimization problems … . The book is well written and well organized. … accessible textbook which can be useful as a reference for researchers and graduate students." (Vicente Novo, Mathematical Reviews, Issue 2009 C)
Les mer
First book that presents results on invex functions and applications in nonlinear programming problems developed in the last several years Includes supplementary material: sn.pub/extras
Produktdetaljer
ISBN
9783540785613
Publisert
2008-05-23
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, UP, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet