A New Implicit Iteration Process with Errors for the Family of Strongly Pseudocontractive Mappings
Arif Rafiq · Numerical Functional Analysis and Optimization · 2012
The purpose of this article is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for the family of continuous strongly pseudocontractive mappings. The results presented in this article extend and improve the corresponding results of other research [1 C. E. Chidume and N. Shahzad ( 2005 ). Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings . Nonlinear Analysis (TMA) 62 : 1149 – 1156 .[Crossref] , [Google Scholar], 3 M. O. Osilike ( 2004 ). Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps . J. Math. Anal. Appl. 294 : 73 – 81 .[Crossref], [Web of Science ®] , [Google Scholar], 6 H. K. Xu and R. Ori ( 2001 ). An implicit iterative process for nonexpansive mappings . Numer. Funct. Anal. Optim. 22 : 767 – 773 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar], 7 Y. Zhou and S. S. Chang ( 2002 ). Convergence of implicit iteration process for a finite family of asymtotically nonexpansive mappings in Banach spaces . Numer. Funct. Anal. Appl. 23 : 911 – 921 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]].