In this paper, we introduce the notion of Osilike-Berinde-
-nonexpansive mappings in metric spaces and show that
every Osilike-Berinde--nonexpansive mapping with nonempty fixed point set is a -quasinonexpansive mapping.
We also prove the demiclosed principle and apply it to obtain a fixed point theorem for Osilike-Berinde--nonexpansive mappings. Strong and 
convergence theorems of the Ishikawa iteration process for -quasinonexpansive mappings are also discussed.
| Author(s) | Panyanak, B., Kaewkhao, A., Klangpraphan, C. |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2021.02.16 |
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