Several outcomes of fixed-point theory in interpolative metric spaces
Submitted: 2025-05-01
|Accepted: 2025-05-30
|Published: 2025-10-01
Copyright (c) 2025 Erdal Karapınar, Kaan Kadıoğlu, Merve Gülçin Türkmenel, Ümit Aksoy
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
fixed point, interpolative metric spaces, contraction, Rus-Reich-Ćirić-type mappings
Supporting agencies:
Atılım University research program under grant agreement No: ATÜ-LAP-2425-15.
Abstract:
This paper aims to generalize and improve the recent fixed-point theorems in the setting of interpolative metric spaces. More precisely, we investigate the existence and uniqueness of the fixed-point for certain operators of the Ćirić-Reich-Rus- type, via admissible mapping in the context of interpolative metric spaces.
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