Overview
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.
Full Product Details
Author: Shashi K. Mishra ,
Giorgio Giorgi
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2008 ed.
Volume: 88
Dimensions:
Width: 15.50cm
, Height: 1.70cm
, Length: 23.50cm
Weight: 1.260kg
ISBN: 9783540785613
ISBN 10: 3540785612
Pages: 266
Publication Date: 23 May 2008
Audience:
College/higher education
,
Professional and scholarly
,
Postgraduate, Research & Scholarly
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: In Print
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Reviews
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)
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)
"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)"
