An implicit iteration process for solving a fixed point problem of a finite family of multi-valued mappings in Banach spaces |
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Authors: | Suthep Suantai Watcharaporn Cholamjiak Prasit Cholamjiak |
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Institution: | 1. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand;2. Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd, Bangkok 10400, Thailand;3. School of Science, University of Phayao, Phayao 56000, Thailand |
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Abstract: | This work is concerned with the strong convergence of an approximating common fixed point sequence of a finite family of multi-valued mappings in a uniformly convex and smooth Banach space using an implicit iteration scheme introduced by Xu and Ori H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767–773]. |
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