A New Modified Fixed-Point Iteration Process

Chanchal Garodia, Afrah A. N. Abdou and Izhar Uddin
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Chanchal Garodia: Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India
Afrah A. N. Abdou: Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Izhar Uddin: Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India

Mathematics, 2021, vol. 9, issue 23, 1-10

Abstract: 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.

Keywords: nonexpansive mapping; common fixed point; iteration process; strong and weak convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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