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Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces |
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| Authors: | Shih-sen Chang Li Yang |
| Institution: | a Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China b Department of Mathematics, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China |
| Abstract: | The purpose of this paper is to study the Ishikawa type iterative scheme to approximate a common fixed point of infinite families of uniformly quasi-Lipschitzian mappings and nonexpansive mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved. The results presented in the paper generalize, improve and unify some recent results. |
| Keywords: | Convex metric space Ishikawa type iterative scheme with errors Infinite family of uniformly quasi-Lipschitzian mapping Asymptotically nonexpansive mapping Asymptotically quasi-nonexpansive mapping |
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