In this paper, we introduce the notion of Osilike-Berinde-G-nonexpansive mappings in metric spaces and show that
every Osilike-Berinde-G-nonexpansive mapping with nonempty fixed point set is a G-quasinonexpansive mapping.
We also prove the demiclosed principle and apply it to obtain a fixed point theorem for Osilike-Berinde-G-nonexpansive mappings. Strong and \Delta-convergence theorems of the Ishikawa iteration process for G-quasinonexpansive mappings are also discussed.

Additional Information

Author(s)

 Panyanak, B., Kaewkhao, A., Klangpraphan, C.

DOI

https://doi.org/10.37193/CJM.2021.02.16