An intermixed algorithm for two strict pseudocontractions in $q$-uniformly smooth Banach space

Abstract

In this paper, we introduce a new intermixed algorithm and prove a strong convergence theorem for approximating individual fixed point of two strictly pseudocontractive mappings $T$ and $U$ in a $q$-uniformly smooth Banach space which admits a weakly sequentially continuous duality mapping $j_p.$ As a special case of the intermixed algorithm, we obtain an approximate common fixed point of two strictly pseudocontractive mappings and also applied our result to approximate a solution of an integral equation of Hammerstein type. Our results improve, complement and extend many recent results in literature.