Fixed point approximations via generalized MR-Kannan mappings in Banach spaces
Submitted: 2023-08-24
|Accepted: 2023-12-21
|Published: 2024-04-02
Copyright (c) 2024 Ravindra Bisht, Jay Singh
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
completeness, asymptotic regularity, averaged mapping, fixed point, Ulam-Hyers stability, well-posedness
Supporting agencies:
Abstract:
In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our approach enhances various existing results related to enriched mappings.
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