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Author:

Wang, Hai-Jun (Wang, Hai-Jun.) | Cheng, Cao-Zong (Cheng, Cao-Zong.) | Fan, Xiao-Dong (Fan, Xiao-Dong.)

Indexed by:

CPCI-S

Abstract:

In this article, we construct a Fenchel-Lagrangian epsilon-dual problem for set-valued optimization problems by using the perturbation methods. Some relationships between the solutions of the primal and the dual problems are discussed. Moreover, an epsilon-saddle point theorem is proved.

Keyword:

Set-valued optimization epsilon-weak saddle point epsilon-conjugate map epsilon-weak efficiency

Author Community:

  • [ 1 ] [Wang, Hai-Jun]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 2 ] [Cheng, Cao-Zong]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 3 ] [Fan, Xiao-Dong]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Wang, Hai-Jun]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China

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Source :

OPERATIONS RESEARCH AND ITS APPLICATIONS: IN ENGINEERING, TECHNOLOGY AND MANAGEMENT

Year: 2011

Volume: 14

Page: 126-132

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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