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- W1895817963 abstract "Abstract In this paper, we prove strong and weak convergence theorems for a mapping defined on a bounded, closed and convex subset of a uniformly convex Banach space, satisfying the RCSC condition. This condition was introduced by Karapınar (Dynamical Systems and Methods, 2012). We first establish the demiclosed principle for the mapping satisfying the RCSC condition. Then, using this principle, we establish the weak and strong convergence theorems. Results in the paper extend and improve a number of important results in this literature such as Khan and Suzuki (Nonlinear Anal. 80:211-215, 2013) and Reich (J. Math. Anal. Appl. 67:274-276, 1979)." @default.
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- W1895817963 date "2015-08-19" @default.
- W1895817963 modified "2023-09-27" @default.
- W1895817963 title "Convergence theorems for generalized nonexpansive mappings in uniformly convex Banach spaces" @default.
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- W1895817963 doi "https://doi.org/10.1186/s13663-015-0397-z" @default.
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