Convergence results of a faster iterative scheme including multi-valued mappings in Banach spaces

Kifayat Ullah, Junaid Jameel Ahmad, Muhammad Shoaib Khan, Naseer Muhammad · Filomat · 2021

In this paper, we study M-iterative scheme in the new context of multi-valued generalized ?-nonexpansive mappings. A uniformly convex Banach space is used as underlying setting for our approach. We also provide a new example of generalized ?-nonexpasive mappings. We connect M iterative scheme and other well known schemes with this example, to show the numerical efficiency of our results. Our results improve and extend many existing results in the current literature.

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