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Generalized Preinvexity and Second Order Duality in Multiobjective Programming

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Generalized Preinvexity and Second Order Duality in Multiobjective Programming by Xinmin Yang
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Description

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.
Release date Australia
October 10th, 2018
Author
Country of Publication
Singapore
Edition
1st ed. 2018
Illustrations
4 Illustrations, black and white; XII, 167 p. 4 illus.
Imprint
Springer Verlag, Singapore
Pages
167
ISBN-13
9789811319808
Product ID
28255207

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