On n-ellipse contractive mappings over some extended metric spaces
Submitted: 2025-01-03
|Accepted: 2025-03-28
|Published: 2025-10-01
Copyright (c) 2025 Kushal Roy, Zoran D. Mitrovic, Vahid Parvaneh
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
fixed point, axes contractive mapping of n-ellipse, $\Delta$-metric space, $\mathcal{F}$-metric space, Banac space
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Abstract:
In this paper, the concept of a mapping contracting axes of an n-ellipse is introduced and its fixed point set has been determined. Investigation of fixed point of mappings over different metric-type spaces is always an interesting study in fixed point theory. We consider a mapping with special characteristic, which is contracting axes of an n-ellipse over two different metric-type structures, Δ -metric space and ℱ -metric space. An enriched version of a mapping contracting axes of an n-ellipse is also introduced, and this class of mappings includes several non-expansive mappings. Moreover, the paper is furnished by some suitable examples that support our results and show that our mapping is distinct from the usual contractive type mappings.
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