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Generalized preinvexity and second order duality in multiobjective programming

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized preinvexity and second order duality in multiobjective programmingby Xinmin Yang.
Author:	Yang, Xinmin.
Published:	Singapore :Springer Singapore :2018.
Description:	xii, 167 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Theory of distributions (Functional analysis)
Online resource:	https://doi.org/10.1007/978-981-13-1981-5
ISBN:	9789811319815$q(electronic bk.)

Generalized preinvexity and second order duality in multiobjective programming
Yang, Xinmin.

Generalized preinvexity and second order duality in multiobjective programming[electronic resource] /by Xinmin Yang. - Singapore :Springer Singapore :2018. - xii, 167 p. :ill., digital ;24 cm. - Springer optimization and its applications,v.1421931-6828 ;. - Springer optimization and its applications ;v. 3..

Preinvex Functions -- Semistrictly Preinvex Functions -- Semipreinvex Functions -- Prequasiinvex Functions -- Generalized Invexity and Generalized Invariant Monotonicity -- Multiobjective Wolfe Type Second-Order Symmetric Duality -- Multiobjective Mond-Weir Type Second Order Symmetric Duality -- Multiobjective Second Order Duality with Cone Constraints.

This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among preinvex functions and the properly inclusive relations among the generalized invariant monotonicities. In addition, several second order and higher order symmetric duality models are provided for multi-objective nonlinear programming problems. Lastly, weak and strong duality theorems under generalized convexity assumptions are provided. The book offers a well-synthesized, accessible, and usable treatment for students, researchers and practitioners in the areas of OR, optimization, applied mathematics and engineering, and all those working on a wide range of related problems, which include financial institutions, logistics, transportation, traffic management, etc.

ISBN: 9789811319815$q(electronic bk.)

Standard No.: 10.1007/978-981-13-1981-5doiSubjects--Topical Terms:

183830
Theory of distributions (Functional analysis)

LC Class. No.: QA324 / .Y364 2018

Dewey Class. No.: 515.782

Generalized preinvexity and second order duality in multiobjective programming
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505 0 $a Preinvex Functions -- Semistrictly Preinvex Functions -- Semipreinvex Functions -- Prequasiinvex Functions -- Generalized Invexity and Generalized Invariant Monotonicity -- Multiobjective Wolfe Type Second-Order Symmetric Duality -- Multiobjective Mond-Weir Type Second Order Symmetric Duality -- Multiobjective Second Order Duality with Cone Constraints.
520 $a This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. Several examples are then presented to illustrate various interesting relationships among preinvex functions and the properly inclusive relations among the generalized invariant monotonicities. In addition, several second order and higher order symmetric duality models are provided for multi-objective nonlinear programming problems. Lastly, weak and strong duality theorems under generalized convexity assumptions are provided. The book offers a well-synthesized, accessible, and usable treatment for students, researchers and practitioners in the areas of OR, optimization, applied mathematics and engineering, and all those working on a wide range of related problems, which include financial institutions, logistics, transportation, traffic management, etc.
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950 $a Mathematics and Statistics (Springer-11649)