Strong convergence of implicit iterates with errors for non-Lipschitzian asymptotically quasi-nonexpansive type mappings in Banach spaces

Authors

  • G. S. Saluja Department of Mathematics and Information Technology, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India Author

Keywords:

Asymptotically quasi-nonexpansive type mapping, implicit iteration process with errors, common fixed point, strong convergence, uniformly convex Banach space

Subjects:

47H09, 47H10

Abstract

In this paper we prove that an implicit iterative process witherrors converges strongly to a common fixed point for a finitefamily of asymptotically quasi-nonexpansive type mappings onunbounded sets in a uniformly convex Banach space. Our resultsunify, improve and generalize the corresponding results of Ud-dinand Khan, Sun, Wittman, Xu and Ori and many others.

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Published

2013-01-15

Issue

Vol. 65 No. 1 (2013): Vol. 65, Issue 1

Section

Articles

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Copyright (c) 2013 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.