Extended Vectorial Version of Ekeland-type Variational Principle with Applications to a Generalised Vector Equilibrium Problem and a Fixed Point Problem

Abstract

In this paper, we extend the vectorial version of Ekeland-type variational principle. As applications, we prove some existence results for a generalised vector equilibrium problem and a fixed point problem in Hilbert spaces. In support of extended vectorial version of Ekeland-type variational principle, we have constructed an example.