Convergence theorems of fixed point iterative methods defined by admissible functions

Abstract

© 2015 by the Mathematical Association of Thailand. All rights reserved. The purpose 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 1]. Moreover, we find some sufficient conditions for weak and strong convergences of general iterative methods for nonexpansive mappings and their generalizations. The results obtained in this paper extend and generalize many known results in the studied area.