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Generalized Convexity and Vector Optimization / by Shashi Kant Mishra, Shou-Yang Wang, Kin Keung Lai; edited by Panos Pardalos

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Nonconvex Optimization and Its Applications ; 90 | SpringerLink BücherPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009Description: Online-Ressource (digital)ISBN:
  • 9783540856719
  • 1281955264
  • 9781281955265
Subject(s): Additional physical formats: 9783540856702 | Buchausg. u.d.T.: Generalized convexity and vector optimization. Berlin : Springer, 2009. IX, 294 S.DDC classification:
  • 515.64
  • 515.96 23
  • 519.6
  • 510
MSC: MSC: *49-02 | 90-02 | 90Cxx | 90C46 | 26B25 | 90C29 | 52A01RVK: RVK: SK 870LOC classification:
  • QA315-316 QA402.3 QA402.5-QA402.6
  • QA331.5
DOI: DOI: 10.1007/978-3-540-85671-9Online resources:
Contents:
Introduction; Generalized Convex Functions; Generalized Type I and Related Functions; Optimality Conditions; Duality Theory; Second and Higher Order Duality; Symmetric Duality; Vector Variational-like Inequality Problems
Summary: Generalized Convex Functions -- Generalized Type I and Related Functions -- Optimality Conditions -- Duality Theory -- Second and Higher Order Duality -- Symmetric Duality -- Vector Variational-like Inequality Problems.Summary: The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type Duality, Mond-Weir type Duality, Mixed type Duality for Multiobjective optimization problems such as Nonlinear programming problems, Fractional programming problems, Nonsmooth programming problems, Nondifferentiable programming problems, Variational and Control problems under various types of generalized convexity assumptions.PPN: PPN: 1647673240Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
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