Inertial Algorithm for Solving Fixed Point and Generalized Mixed Equilibrium Problems in Banach Spaces

摘要

In this paper, we study an inertial algorithm for approximating a common fixed point of countable families of quasi Bregman strictly pseudocontractive mappings and solution of a system of generalized mixed equilibrium problems. We proved a strong convergence theorem of the sequences generated by the algorithm in reflexive Banach space. Our result extend and improve important recent results announced by many authors.