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Titlebook: Invexity and Optimization; Shashi Kant Mishra,Giorgio Giorgi Book 2008 Springer-Verlag Berlin Heidelberg 2008 Duality.Generalized Convexit

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書目名稱Invexity and Optimization
編輯Shashi Kant Mishra,Giorgio Giorgi
視頻videohttp://file.papertrans.cn/476/475044/475044.mp4
概述First book that presents results on invex functions and applications in nonlinear programming problems developed in the last several years.Includes supplementary material:
叢書名稱Nonconvex Optimization and Its Applications
圖書封面Titlebook: Invexity and Optimization;  Shashi Kant Mishra,Giorgio Giorgi Book 2008 Springer-Verlag Berlin Heidelberg 2008 Duality.Generalized Convexit
描述.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..
出版日期Book 2008
關(guān)鍵詞Duality; Generalized Convexity; Generalized Monotonicity; Invex Functions; Nonlinear Mathematical Progra
版次1
doihttps://doi.org/10.1007/978-3-540-78562-0
isbn_softcover978-3-642-09731-7
isbn_ebook978-3-540-78562-0Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer-Verlag Berlin Heidelberg 2008
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Invexity for Some Special Functions and Problems,There are few papers dealing with invexity of quadratic forms and functions; we know only the contributions of Smart [224], Mond and Smart [177] and Molho and Schaible [166]. The study of invex quadratic functions can improve optimality and duality results for that important class of problems formed by quadratic programming problems.
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Shashi Kant Mishra,Giorgio GiorgiFirst book that presents results on invex functions and applications in nonlinear programming problems developed in the last several years.Includes supplementary material:
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Invex Functions (The Smooth Case),vexity can be assigned to this perspective. Other generalizations have been obtained through altering the expressions in the definition of convexity, such as the arcwise convex functions in [8] and [9], the (., ?)-convex function in [17], the (α, λ)-convex functions in [27], the semilocally generalized convex functions in [113], etc.
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