数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (2): 463-476.doi: 10.1016/S0252-9602(17)30014-0

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EXISTENCE RESULTS FOR GLOBALLY EFFICIENT SOLUTIONS OF VECTOR EQUILIBRIUM PROBLEMS VIA A GENERALIZED KKM PRINCIPLE

Adela CAPǎTǎ   

  1. Technical University of Cluj-Napoca, Department of Mathematics, G. Baritiu 25, Room 198, Romania
  • 收稿日期:2015-03-31 修回日期:2016-06-16 出版日期:2017-04-25 发布日期:2017-04-25
  • 通讯作者: Adela CAPǍTǍ,E-mail:adela.capata@math.utcluj.ro E-mail:adela.capata@math.utcluj.ro
  • 作者简介:Adela CAPǍTǍ,E-mail:adela.capata@math.utcluj.ro

EXISTENCE RESULTS FOR GLOBALLY EFFICIENT SOLUTIONS OF VECTOR EQUILIBRIUM PROBLEMS VIA A GENERALIZED KKM PRINCIPLE

Adela CAPǎTǎ   

  1. Technical University of Cluj-Napoca, Department of Mathematics, G. Baritiu 25, Room 198, Romania
  • Received:2015-03-31 Revised:2016-06-16 Online:2017-04-25 Published:2017-04-25
  • Contact: Adela CAPǍTǍ,E-mail:adela.capata@math.utcluj.ro E-mail:adela.capata@math.utcluj.ro

摘要:

The aim of this article is to present new existence results for globally efficient solutions of a strong vector equilibrium problem given by a sum of two functions via a generalized KKM principle,and to establish the connectedness of the solutions set.

关键词: KKM principle, equilibrium problems given by a sum, globally efficient solution, near C-subconvexlikeness

Abstract:

The aim of this article is to present new existence results for globally efficient solutions of a strong vector equilibrium problem given by a sum of two functions via a generalized KKM principle,and to establish the connectedness of the solutions set.

Key words: KKM principle, equilibrium problems given by a sum, globally efficient solution, near C-subconvexlikeness