Invexity And Optimization

Author : Shashi K. Mishra
Publisher : Springer Science & Business Media
ISBN 13 : 3540785612
Total Pages : 269 pages
Book Rating : 4.13/5 ( download)

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Download or read book Invexity and Optimization written by Shashi K. Mishra and published by Springer Science & Business Media. This book was released on 2008-05-23 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Shashi K. Mishra
Publisher : Springer Science & Business Media
ISBN 13 : 0387754466
Total Pages : 170 pages
Book Rating : 4.68/5 ( download)

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Download or read book V-Invex Functions and Vector Optimization written by Shashi K. Mishra and published by Springer Science & Business Media. This book was released on 2007-11-17 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume summarizes and synthesizes an aspect of research work that has been done in the area of Generalized Convexity over the past few decades. Specifically, the book focuses on V-invex functions in vector optimization that have grown out of the work of Jeyakumar and Mond in the 1990’s. The authors integrate related research into the book and demonstrate the wide context from which the area has grown and continues to grow.

Author :
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.57/5 ( download)

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Download or read book Invexity in multifunction optimization written by and published by . This book was released on 1991 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : V. Antunes de Oliveira
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.24/5 ( download)

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Download or read book Continuous-time Optimization Problems Via KT-invexity written by V. Antunes de Oliveira and published by . This book was released on 2004 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Sandor Komlosi
Publisher : Springer Science & Business Media
ISBN 13 : 3642468020
Total Pages : 406 pages
Book Rating : 4.25/5 ( download)

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Download or read book Generalized Convexity written by Sandor Komlosi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalizations of the classical concept of a convex function have been proposed in various fields such as economics, management science, engineering, statistics and applied sciences during the second half of this century. In addition to new results in more established areas of generalized convexity, this book presents several important developments in recently emerging areas. Also, a number of interesting applications are reported.

Author : Adilson J. V. Brandão
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.62/5 ( download)

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Download or read book Nonsmooth Continuous-time Optimization Problems Via Invexity written by Adilson J. V. Brandão and published by . This book was released on 2005 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.22/5 ( download)

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Download or read book The Notion of Invexity in Vector Optimization written by and published by . This book was released on 1997 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jean-Pierre Crouzeix
Publisher : Springer Science & Business Media
ISBN 13 : 1461333415
Total Pages : 469 pages
Book Rating : 4.18/5 ( download)

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Download or read book Generalized Convexity, Generalized Monotonicity: Recent Results written by Jean-Pierre Crouzeix and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: A function is convex if its epigraph is convex. This geometrical structure has very strong implications in terms of continuity and differentiability. Separation theorems lead to optimality conditions and duality for convex problems. A function is quasiconvex if its lower level sets are convex. Here again, the geo metrical structure of the level sets implies some continuity and differentiability properties for quasiconvex functions. Optimality conditions and duality can be derived for optimization problems involving such functions as well. Over a period of about fifty years, quasiconvex and other generalized convex functions have been considered in a variety of fields including economies, man agement science, engineering, probability and applied sciences in accordance with the need of particular applications. During the last twenty-five years, an increase of research activities in this field has been witnessed. More recently generalized monotonicity of maps has been studied. It relates to generalized convexity off unctions as monotonicity relates to convexity. Generalized monotonicity plays a role in variational inequality problems, complementarity problems and more generally, in equilibrium prob lems.

Author : Manuel Arana Jiménez
Publisher : Bentham Science Publishers
ISBN 13 : 1608051102
Total Pages : 194 pages
Book Rating : 4.06/5 ( download)

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Download or read book Optimality Conditions in Vector Optimization written by Manuel Arana Jiménez and published by Bentham Science Publishers. This book was released on 2010 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the improvements in vector optimization in mathematical programming. The aim of this Ebook is to present the latest developments in vector optimization. The contributions have been written by some of the most eminent researchers in this field of mathematical programming. The Ebook is considered essential for researchers and students in this field.

Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.83/5 ( download)

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Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".