APPROXIMATION METHOD FOR COMMON FIXED POINT OF A COUNTABLE FAMILY OF MULTI-VALUED QUASI-ϕ-NONEXPANSIVE MAPPINGS IN BANACH SPACES

Abstract

In this paper, we study a new iterative algorithm to approximate a common fixed point of a
countable family of multi-valued quasi-φ nonexpansive mappings in a uniformly smooth and uniformly
convex real Banach space. We prove strong convergence theorem which improve and generalize recently
announced results in the literature. We also give some example to illustrate our theorem and we also
give application to zero point problem of maximal monotone mappings