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Approximating the common fixed points of two sequences of uniformly quasi-Lipschitzian mappings in convex metric spaces |
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| Authors: | Qing-you Liu Nan-jing Huang |
| Institution: | a State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation Southwest Petroleum University, Chengdu, Sichuan 610500, PR China b Department of Applied Mathematics, Southwest Petroleum University, Chengdu, 610500, PR China c Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China |
| Abstract: | In this paper, a kind of Ishikawa type iterative scheme with errors for approximating a common fixed point of two sequences of uniformly quasi-Lipschitzian mappings is introduced and studied in convex metric spaces. Under some suitable conditions, the convergence theorems concerned with the Ishikawa type iterative scheme with errors to approximate a common fixed point of two sequences of uniformly quasi-Lipschitzian mappings were proved in convex metric spaces. The results presented in the paper generalize and improve some recent results of Wang and Liu (C. Wang, L.W. Liu, Convergence theorems for fixed points of uniformly quasi-Lipschitzian mappings in convex metric spaces, Nonlinear Anal., TMA 70 (2009), 2067-2071). |
| Keywords: | Convex metric space Ishikawa type iterative scheme with errors Uniformly quasi-Lipschitzian mapping Asymptotically nonexpansive mapping Convergence |
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