A New Modified Fixed-Point Iteration Process

Chanchal Garodia, Afrah A. N. Abdou, Izhar Uddin · Mathematics · 2021

In this paper, we present a new modified iteration process in the setting of uniformly convex Banach space. The newly obtained iteration process can be used to approximate a common fixed point of three nonexpansive mappings. We have obtained strong and weak convergence results for three nonexpansive mappings. Additionally, we have provided an example to support the theoretical proof. In the process, several relevant results are improved and generalized.

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