---

＜電子ブック＞
Invexity and Optimization / by Shashi K. Mishra, Giorgio Giorgi
(Nonconvex Optimization and Its Applications ; 88)

版	1st ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	X, 266 p : online resource
著者標目	*Mishra, Shashi K author Giorgi, Giorgio author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Operations research FREE:Optimization FREE:Operations Research and Decision Theory
一般注記	Invex Functions (The Smooth Case) -- ?-Pseudolinearity: Invexity and Generalized Monotonicity -- Extensions of Invexity to Nondifferentiable Functions -- Invexity in Nonlinear Programming -- Invex Functions in Multiobjective Programming -- Variational and Control Problems Involving Invexity -- Invexity for Some Special Functions and Problems 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 HTTP:URL=https://doi.org/10.1007/978-3-540-78562-0

 類似資料