A generalization of Ekeland's variational principle by using the τ-distance with its applications.
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ABSTRACT: 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.
SUBMITTER: Farajzadeh AP
PROVIDER: S-EPMC5544817 | biostudies-other | 2017
REPOSITORIES: biostudies-other
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