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Titlebook: Generalized Convexity and Vector Optimization; Shashi Kant Mishra,Shou-Yang Wang,Kin Keung Lai Book 2009 Springer-Verlag Berlin Heidelberg

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书目名称Generalized Convexity and Vector Optimization
编辑Shashi Kant Mishra,Shou-Yang Wang,Kin Keung Lai
视频videohttp://file.papertrans.cn/383/382192/382192.mp4
概述The reader will come to know about the present status of the research in this hot area of research field.The reader does not have to consult various research papers from different journals.Will provid
丛书名称Nonconvex Optimization and Its Applications
图书封面Titlebook: Generalized Convexity and Vector Optimization;  Shashi Kant Mishra,Shou-Yang Wang,Kin Keung Lai Book 2009 Springer-Verlag Berlin Heidelberg
描述The present lecture note is dedicated to the study of the optimality conditions and the duality results for nonlinear vector optimization problems, in ?nite and in?nite dimensions. The problems include are nonlinear vector optimization problems, s- metric dual problems, continuous-time vector optimization problems, relationships between vector optimization and variational inequality problems. Nonlinear vector optimization problems arise in several contexts such as in the building and interpretation of economic models; the study of various technolo- cal processes; the development of optimal choices in ?nance; management science; production processes; transportation problems and statistical decisions, etc. In preparing this lecture note a special effort has been made to obtain a se- contained treatment of the subjects; so we hope that this may be a suitable source for a beginner in this fast growing area of research, a semester graduate course in nonlinear programing, and a good reference book. This book may be useful to theoretical economists, engineers, and applied researchers involved in this area of active research. The lecture note is divided into eight chapters: Chapter 1 brie?
出版日期Book 2009
关键词Duality; Generalized Convexity; Kuhn-Tucker Conditions; Mond-Weir type Duality; Multiobjective Programmi
版次1
doihttps://doi.org/10.1007/978-3-540-85671-9
isbn_softcover978-3-642-09930-4
isbn_ebook978-3-540-85671-9Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer-Verlag Berlin Heidelberg 2009
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Second and Higher Order Duality,can be developed further in two ways: one is in a more general setting of a modified dual (namely, a second order and a higher order dual), the other is in the generalized convexity. The benefit of doing this not only that results obtained by these kinds of duals under generalized convexity extend s
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Symmetric Duality,nd its dual are symmetric in this sense. However, this is not the case in nonlinear programs in general. Following Dorn (1960) many authors have contributed to symmetric duality, see Dantzig et al. (1965), Bazaraa and Goode (1973), Chandra et al. (1985), Cottle (1963), Hou and Yang (2001), Kim et al
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Vector Variational-like Inequality Problems,ons of α— invex functions. We will identify the vector critical points, the weakly efficient solutions and the solutions of the weak vector variational-like inequality problems, under pseudo-α— invexity assumptions. These conditions are more general than those of existing ones in the literature. In
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VARIATION 3: Portraits, Psychogramme,ome well-known classical results of (first order) duality for convex optimization problems, but also that higher order duality can provide a lower bound to the infimum of a primal optimization problem when it is difficult to find a feasible solution for the first order dual.
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