Iterative approximation of common fixed points of generalized nonexpansive maps in convex metric spaces

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

common fixed points of generalized contractive maps in cone metric spaces

Common fixed point of four maps in $S_b$-Metric spaces

In this paper is introduced a new type of generalization of metric spaces called $S_b$ metric space. For this new kind of spaces it has been proved a common fixed point theorem for four mappings which satisfy generalized contractive condition. We also present example to confirm our theorem.

Convergence theorems for common fixed points of asymptotically quasi-nonexpansive mappings in convex metric spaces

Keywords: Implicit iterative algorithm Asymptotically quasi-nonexpansive mappings Common fixed point Convex metric space a b s t r a c t In this paper, we consider an implicit iteration process to approximate the common fixed points of two finite families of asymptotically quasi-nonexpansive mappings in convex metric spaces. As a consequence of our result, we obtain some related convergence the...

Approximating common fixed points of asymptotically nonexpansive maps in uniformly convex Banach spaces

We introduce three-step iterative schemes with errors for two and three nonexpansive maps and establish weak and strong convergence theorems for these schemes. Mann-type and Ishikawa-type convergence results are included in the analysis of these new iteration schemes. The results presented in this paper substantially improve and extend the results due to Khan and Fukhar-ud-din (2005), Shahzad (...