A Strong Convergence Theorem for a Family of Quasi-"Equation missing" -Nonexpansive Mappings in a Banach Space
Haiyun Zhou, Xinghui Gao · Fixed Point Theory and Applications · 2009
Abstract The purpose of this paper is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-"Equation missing"-nonexpansive mappings. The strong convergence theorem is proven in the more general reflexive, strictly convex, and smooth Banach spaces with the property (K). The results of this paper improve and extend the results of S. Matsushita and W. Takahashi (2005), X. L. Qin and Y. F. Su (2007), and others.