Existence results for strong vector equilibrium problems with applications

Adela Capătă, Gábor Kassay, Suliman Al-Homidan

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The purpose of this paper is to present sufficient conditions for the existence of solutions of strong vector equilibrium problems given by a sum of two functions, by using Fan's lemma. The established results are applied to vector equilibrium problems with constraints and generalize some results from the literature.

Original languageEnglish
Pages (from-to)1163-1179
Number of pages17
JournalJournal of Nonlinear and Convex Analysis
Volume19
Issue number7
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 Yokohama Publications.

Keywords

  • C-convexity
  • Equilibrium problem with constraints
  • Lower semicontinuity
  • Strong essential quasimonotonicity

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics

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