Document Type : Original Article

Author

• Imo Kalu Agwu

Michael Okpara University of Agriculture, Umudike, Umuahia

Abstract

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.

Keywords

• Quasi-onexpansive Mappings
• Modified Halpern's Type and HS-Iteration Schemes
• Jointly Demiclosedness Principle
• Uniformly Convex Banach Space