International Journal of Nonlinear Analysis and Applications

A generalization of Ekeland’s variational principle by using the τ -distance and its application in equilibrium problem

Document Type : Research Paper

Authors

Department of Mathematics, Razi University, Kermanshah, 67149, Iran

Abstract

In this paper, a new version of Ekeland's variational principle by using the concept of $\tau$-distance for bounded from below functions which are not necessarily lower semicontinuous is provided. This new version of Ekeland's variational principle will be applied to establish an existence theorem for a solution to the equilibrium problem in the setting of complete metric spaces.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 6
June 2025
Pages 107-112
  • Receive Date: 08 March 2023
  • Revise Date: 28 January 2024
  • Accept Date: 29 January 2024