Convergence Theorems of Fixed Point Iterative Methods Defined by Admissible Functions

Nuttawut Bunlue, Suthep Suantai

Abstract

The purposes of this paper is to prove some convergence theorems for fixed point iterative methods defined by means of the new concept of admissible function, introduced by Rus in 2012. Moreover, we find some sufficient conditions for weak and strong convergence of a general iterative methods for nonexpansive mappings and their generalizations. The results obtained in this thesis extend and generalize many known results in the studied area.