An algorithm for a common fixed point of a family of pseudocontractive mappings

Fixexd point theory and applications

Naseer Shahzad¹  Habtu Zegeye² 

[1] Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, University of Botswana, Gaborone, Botswana

关键词: fixed points of mappings;    monotone mappings;    pseudocontractive mappings;    strong convergence;   

DOI  :  10.1186/1687-1812-2013-234

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce an iterative process which converges strongly to a common fixed point of a family of Lipschitzian pseudocontractive mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators. MSC:47H09, 47J20, 65J15.

【 授权许可】

CC BY