Ekeland’s Variational Principle and its Applications to Equilibrium Problems

A. Hosseinpour, A. Farajzadeh, S. Plubtieng

Abstract

In this paper, we obtain a generalization of the vectorial form ofEkeland’s variational principle for set-valued mapping in complete metric spaces.We get some equivalent results to the mentioned variational principle. As anapplication of our work, we provide some existence results for equilibrium problemsin compact and noncompact spaces.