Convergence theorems for common fixed points of asymptotically quasi-nonexpansive mappings in convex metric spaces |
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| Authors: | Isa Yildirim Safeer Hussain Khan |
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| Affiliation: | a Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey
b Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar |
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| Abstract: | 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 theorems. Our results generalize some recent results of Khan and Ahmed [4], Khan et al. [6], Sun [12], Wittmann [14] and Xu and Ori [15]. |
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| Keywords: | Implicit iterative algorithm Asymptotically quasi-nonexpansive mappings Common fixed point Convex metric space |
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