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Invexity and Optimization de Shashi K. Mishra

Invexity and Optimization: Nonconvex Optimization and Its Applications, cartea 88

Autor Shashi K. Mishra, Giorgio Giorgi
en Limba Engleză Paperback – 28 oct 2010
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.
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Specificații

ISBN-13: 9783642097317
ISBN-10: 3642097316
Pagini: 276
Ilustrații: X, 266 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.4 kg
Ediția:Softcover reprint of hardcover 1st ed. 2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Nonconvex Optimization and Its Applications

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

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