On convergence theorems for single-valued and multi-valued mappings in p-uniformly convex metric spaces

نویسندگان

چکیده

We prove ?-convergence and strong convergence theorems of an iterative sequence generated by the Ishikawa’s method to a fixed point single-valued quasi-nonexpansive mappings in p-uniformly convex metric spaces without assuming convexity assumption. As consequence our version, we obtain result for multi-valued showing that every mapping taking compact values admits selection whose fixed-point set is equal strict mapping. In particular, immediately all Laokul Panyanak [Laokul, T.; Panyanak, B. A generalization (CN) inequality its applications. Carpathian J. Math. 36 (2020), no. 1, 81–90] show some their assumptions are superfluous.

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ژورنال

عنوان ژورنال: Carpathian Journal of Mathematics

سال: 2021

ISSN: ['1843-4401', '1584-2851']

DOI: https://doi.org/10.37193/cjm.2021.03.13