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Author:

Fan, Xiaodong (Fan, Xiaodong.) | Cheng, Caozong (Cheng, Caozong.) | Wang, Haijun (Wang, Haijun.)

Indexed by:

SCIE

Abstract:

The concepts of essential solutions and essential solution sets for parametric vector optimization problems are introduced, and the relations among the concepts of essential solutions, essential solution sets and lower semicontinuity of solution mappings are discussed. The characterization of essential solutions is presented, and some sufficient conditions for closedness of solution mappings are obtained. Finally, some corollaries of the main results are given as applications for some special optimization models.

Keyword:

stability essential solution set parametric optimization essential solution vector optimization

Author Community:

  • [ 1 ] [Fan, Xiaodong]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 2 ] [Cheng, Caozong]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Haijun]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
  • [ 4 ] [Fan, Xiaodong]Bohai Univ, Dept Math, Jinzhou 121013, Liaoning, Peoples R China

Reprint Author's Address:

  • [Fan, Xiaodong]Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China

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Source :

PACIFIC JOURNAL OF OPTIMIZATION

ISSN: 1348-9151

Year: 2013

Issue: 3

Volume: 9

Page: 413-425

0 . 2 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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