Iterative method for split generalized equilibrium and fixed point problems for multivalued demicontractive-type

Abstract

In [4], [Fixed Point Theory and Applications (2018) 2018:6], W. Phuengrattana and K. Lerkchaiyaphum obtained some results on solving split generalized equilibrium problem and fixed point of multi-valued nonexpansive mappings in real Hilbert spaces. We observed a gap in the proof of their main result, Theorem 3.1. Motivated by their result, we first correct the observed error and study in this article, approximation of solution of generalized split equilibrium problem and common fixed point problem for a finite family of multi-valued demicontractive-type mappings in real Hilbert spaces.