A STRONG CONVERGENCE THEOREM CONCERNING AHYBRID PROJECTION METHOD FOR FINDING COMMONFIXED POINTS OF A COUNTABLE FAMILY OF RELATIVELYQUASI-NONEXPANSIVE MAPPINGS

摘要

The purpose of this paper is to introduce the hybrid projection al-gorithm by the generalized f-projection operator for a countable family of rela-tively quasi-nonexpansive mappings in a uniformly convex and uniform smooth Banach space. We obtain strong convergence theorem for countable relatively quasi-nonexpansive mappings under some suitable conditions. As applications, we apply our result to the problem of finding zeros of B-monotone mappings and maximal monotone operators. The result presented in this paper generalize and improve previous results.