New Iteration Algorithms for Finite Family of Two Quasi-nonexpansive Mappings Satisfying Jointly Demiclosedness Principle in Banach Spaces

Document Type : Original Article


Michael Okpara University of Agriculture, Umudike, Umuahia


In this paper, we propose and study two iteration schemes (modifi ed Halpern's type and HS-iteration schemes). Furthermore, it is proved that if two finite families of quasi-nonexpansive mappings satisfy jointly demiclosedness principle, then under appropriate conditions on the iteration parameters, the schemes so introduced strongly converge to the common fixed points of the mappings. Our main results improve and generalize the results in [1] and many other existing results currently in literature.