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Main Title Generalized preinvexity and second order duality in multiobjective programming /
Author Yang, Xinmin,
Publisher Springer,
Year Published 2018
OCLC Number 1044841584
ISBN 9789811319808; 9811319804
Subjects Theory of distributions (Functional analysis) ; Mathematical optimization ; Nonlinear programming
Library Call Number Additional Info Location Last
ELBM  QA324.Y36 2018 AWBERC Library/Cincinnati,OH 08/20/2019
Collation xii, 167 pages ; 24 cm.
Includes bibliographical references and index.
Contents Notes
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.--