Convergence theorem for the common solution for a finite family of φ‐strongly accretive operator equations

The purpose of this paper is to study a strong convergence of multi‐step iterative scheme to a common solution for a finite family of uniformly continuous φ‐strongly accretive operator equations in an arbitrary Banach space. As a consequence, the strong convergence theorem for the multi‐step iterative sequence to a common fixed point for finite family of φ‐strongly pseudocontractive mappings is also obtained. The results presented in this paper thus improve and extend the corresponding results of Inchan , Kang and many others.