A generalization of Ekeland’s variational principle by using the τ -distance and its application in equilibrium problem
نویسندگان
1 Department of Mathematics, Razi University, Kermanshah, 67149, Iran
2 Department of Mathematics, Razi University, Kermanshah, 67149, Iran
doi
10.22075/ijnaa.2024.30132.4343چکیده
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.
