Generalized Preinvexity and Second Order Duality in Multiobjective Programming
Author:   Xinmin Yang
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2018
Volume:   142
ISBN:  

9789811319808


Pages:   167
Publication Date:   10 October 2018
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Generalized Preinvexity and Second Order Duality in Multiobjective Programming


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Overview

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.

Full Product Details

Author:   Xinmin Yang
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2018
Volume:   142
Weight:   0.454kg
ISBN:  

9789811319808


ISBN 10:   9811319804
Pages:   167
Publication Date:   10 October 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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