Generalized Preinvexity and Second Order Duality in Multiobjective Programming

Xinmin Yang (Autor)

Buch | Hardcover

167 Seiten

2018 | 1st ed. 2018
Springer Verlag, Singapore
978-981-13-1980-8 (ISBN)

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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.

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.

Erscheinungsdatum	15.10.2018
Reihe/Serie	Springer Optimization and Its Applications ; 142
Zusatzinfo	4 Illustrations, black and white; XII, 167 p. 4 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
ISBN-10	981-13-1980-4 / 9811319804
ISBN-13	978-981-13-1980-8 / 9789811319808
Zustand	Neuware