Research Article

Some remarks on G-nonexpansive and G-quasi nonexpansive mappings

Abstract: Here, we discussed some relations between G-nonexpansive mappings and G−quasinonexpansive mappings and their structures. Further we obtained some convergence results of a sequence, defined by Schaefer iteration scheme for multi-valued Osilike-Berinde G-nonexpansive mapping in uniformly convex hyperbolic metric space. Also the results obtained in the paper are justified with some examples. To show the significance of results, an application is discussed here.

Authors affiliation:

Kiran Dewangan (ORCID): Government Dudhadhari Bajrang Girls Postgraduate Autonomous College, Raipur - 492001 (C.G.), India.

How To Cite: K. Dewangan. Some remarks on G-nonexpansive and G-quasi nonexpansive mappings. Applied Mathematics on Science and Engineering, 3(2):23–33, 2026. https://doi.org/10.65036/amse323