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Catalogue Information
Field name	Details
Dewey Class	519.6
Title	Invexity and Optimization ([Ebook]) / by Shashi Kant Mishra, Giorgio Giorgi.
Author	Mishra, Shashi Kant. , 1967-
Added Personal Name	Giorgi, Giorgio
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2008.
Physical Details	x, 266 pages : online resource.
Series	Nonconvex Optimization and Its Applications 1571-568X ; ; 88
ISBN	9783540785620
Summary Note	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.:
Contents note	Introduction -- 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-540-78562-0
Links to Related Works	Subject References: Mathematical optimization . Mathematics . Operations Research/Decision Theory . Optimization . Authors: author . Giorgi, Giorgio . Mishra, Shashi Kant. 1967- . Corporate Authors: SpringerLink (Online service) . Series: Nonconvex Optimization and Its Applications . Classification: 519.6 . 519.6 (DDC 23) .

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Invexity and Optimization

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