On convergence of a sequence in complete metric spaces and its applications to some iterates of quasi-nonexpansive mappings |
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Authors: | M.A. Ahmed F.M. Zeyada |
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Affiliation: | Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt |
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Abstract: | The purpose of this paper is to establish some theorems on convergence of a sequence in complete metric spaces. As applications, some results of Ghosh and Debnath [J. Math. Anal. Appl. 207 (1997) 96-103], Kirk [Ann. Univ. Mariae Curie-Sk?odowska Sect. A LI.2, 15 (1997) 167-178] and Petryshyn and Williamson [J. Math. Anal. Appl. 43 (1973) 459-497] are obtained from our results as special cases. Also, we give comments on some results in [J. Math. Anal. Appl. 207 (1997) 96-103, J. Math. Anal. Appl. 43 (1973) 459-497]. Some examples are introduced to support our comments. |
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Keywords: | Convergence of a sequence Quasi-nonexpansive w.r.t. a sequence Complete metric spaces Fixed point set |
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