Overview
- 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
Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 88)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
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)
Authors and Affiliations
Bibliographic Information
Book Title: Invexity and Optimization
Authors: Shashi Kant Mishra, Giorgio Giorgi
Series Title: Nonconvex Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-540-78562-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-78561-3Published: 23 May 2008
Softcover ISBN: 978-3-642-09731-7Published: 28 October 2010
eBook ISBN: 978-3-540-78562-0Published: 24 April 2008
Series ISSN: 1571-568X
Edition Number: 1
Number of Pages: X, 266