Iterative approximation for split equality fixed point problem for family of multivalued mappings

作     者：Shehu, Yekini 

作者机构：Univ Nigeria Dept Math Nsukka Nigeria 

出 版 物：《REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS》 (Revista Real Academia Ciencias Exactas, Fisicas Naturales - Serie A: Matematicas)

年 卷 期：2015年第109卷第2期

页      面：627-643页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Strong convergence Split equality fixed point problem Multi-valued quasi-nonexpansive mappings Simultaneous iterative algorithm Hilbert spaces 

摘      要：In this paper, we prove strong convergence theorem for approximation of solutions of split equality fixed point problems for infinite families of multi-valued quasi-nonexpansive mappings in real Hilbert spaces using a new iterative scheme. Our iterative scheme is constructed with a way of selecting the step-sizes such that the implementation of the algorithm does not require the calculation or estimation of the operator norms. Our result extends and generalize many important recent results in this direction in the literature.