A split equilibrium problem and a fixed point problem of quasi-$\phi$-nonexpansive mapping in Banach spaces
Journal of Nonlinear Functional Analysis · 2019
The purpose of this paper is to propose an iterative algorithm to solve a solution problem which consists of split equilibrium problems and fixed-point problems of quasi-φ -nonexpansive mappings.It is proved that the sequence generated by our proposed iterative algorithm converges strongly to a common solution of the split equilibrium problems and fixed point problems in Banach spaces.As an application, a split optimization problem is investigated.