Exciting fixed point results in revised fuzzy cone metric spaces under a new control function with supportive applications

In the context of revised fuzzy cone metric spaces (RFCMS). This research attempts to present an innovative concept of tripled fixed point (TFP) conclusions employing a control function. A continuous, one-to-one self-map having subsequential convergence (SC) in RFCMS functions as the control functio...

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Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 28 - 22
Main Authors: Ravichandran, Thangathamizh, Mubeen Tajudeen, M., Akgul, Ali, Abdalla, Mohamed, Hassani, Murad Khan
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 06.10.2025
Springer Nature B.V
SpringerOpen
Subjects:
Analysis
Applications of Mathematics
Control function
Differential Geometry
Fixed point
Fixed points (mathematics)
Fuzzy logic
Fuzzy sets
Inequality
Logic programming
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
RFCMS
TFP
Topology
VIEs
Volterra integral equations
RFCMS
Control function
47H10
34B15
VIEs
TFP
Fixed point
54H25
ISSN:2730-5422, 2730-5422
Online Access:Get full text
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Summary:In the context of revised fuzzy cone metric spaces (RFCMS). This research attempts to present an innovative concept of tripled fixed point (TFP) conclusions employing a control function. A continuous, one-to-one self-map having subsequential convergence (SC) in RFCMS functions as the control function. Apart from that, under adapted contractive-type circumstances, distinct TFP conclusions are generated through employing the triangular characteristic of RFCM. To reinforce the findings, two illustrative examples are provided. Lastly, the theoretical conclusions are validated by showing that the solutions for a class of Volterra integral equations (VIEs) exist and are unique.
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ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-025-00796-3