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Springer Optimization and Its Applications

Generalized Preinvexity and Second Order Duality in Multiobjective Programming

Authors: Yang, Xinmin

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  • Introduces generalized convex functions and generalized monotone functions
  • Equips readers with generalized preinvex functions and generalized invariant monotonicities
  • Application to the study of optimality conditions and duality theory in optimization
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  • ISBN 978-981-13-1981-5
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About this book

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.


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $79.99
price for USA
  • ISBN 978-981-13-1981-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA
  • ISBN 978-981-13-1980-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA
  • ISBN 978-981-13-4715-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Generalized Preinvexity and Second Order Duality in Multiobjective Programming
Authors
Series Title
Springer Optimization and Its Applications
Series Volume
142
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-1981-5
DOI
10.1007/978-981-13-1981-5
Hardcover ISBN
978-981-13-1980-8
Softcover ISBN
978-981-13-4715-3
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XII, 167
Number of Illustrations
4 b/w illustrations
Topics

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