A generalization of Ekeland’s variational principle by using the τ-distance with its applications
Ali P. Farajzadeh, Somyot Plubtieng, A Hoseinpour · Journal of Inequalities and Applications · 2017
In this paper, a new version of Ekeland’s variational principle by using the concept of τ -distance is proved and, by applying it, an approximate minimization theorem is stated. Moreover, by using it, two versions of existence results of a solution for the equilibrium problem in the setting of complete metric spaces are investigated. Finally some examples in order to illustrate the results of this note are given.