Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings |
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| Institution: | 1. The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy;2. Department of Mathematics, King Abdul Aziz University, P.O.B. 80203, Jeddah 21589, Saudi Arabia |
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| Abstract: | The purpose of this paper is to prove the strong convergence of an implicit iteration process to a common fixed point for a finite family of nonexpansive mappings. Our theorems give an affirmative response to a question raised by Xu and Ori, Numer. Funct. Anal. Optim. 22 (2001) 767–773]. |
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