Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem

Document Type : Original Article

Authors

Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

http://dx.doi.org/10.1016/j.joems.2012.10.009

Abstract

In this paper, we introduce an iterative method to approximate a common solution of a
split equilibrium problem, a variational inequality problem and a fixed point problem for a nonexpansive
mapping in real Hilbert spaces. We prove that the sequences generated by the iterative
scheme converge strongly to a common solution of the split equilibrium problem, the variational
inequality problem and the fixed point problem for a nonexpansive mapping. The results presented
in this paper extend and generalize many previously known results in this research area.

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