Existence of fixed points of large MR-Kannan contractions in Banach Spaces
Submitted: 2023-12-08
|Accepted: 2024-05-15
|Published: 2024-10-01
Copyright (c) 2024 Rizwan Anjum, Mujahid Abbas, Muhammad Waqar Akram, Stojan Radenović
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
Kannan contraction, enriched Kannan, large Kannan, MR Kannan contractions
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Abstract:
The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.
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