On common fixed point via inverse Ck-class functions in partially E-cone metric spaces

In this paper, we introduce common fixed point theorems through the context of inverse C k -class functions on partially E -cone metric spaces. We extend the existing fixed point theorem and explore the existence and uniqueness of common fixed point theorem under some compatible conditions such as s...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; p. 31
Main Authors: Meitei, M. Solomon, Singh, L. Shambhu, Singh, T. Chhatrajit
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Subjects:
Analysis
Applications of Mathematics
Banach spaces
Commuting
Compatibility
Differential Geometry
Fixed points (mathematics)
Mapping
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric Fixed Point Theory and Its Applications
Metric space
Theorems
Topology
cone metric spaces
47H10
class functions
Compatible and semi-compatible mappings
54H25
ISSN:2730-5422
Online Access:Get full text
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Summary:In this paper, we introduce common fixed point theorems through the context of inverse C k -class functions on partially E -cone metric spaces. We extend the existing fixed point theorem and explore the existence and uniqueness of common fixed point theorem under some compatible conditions such as semi-compatibility, semi-compatibility of type (A), weak semi-compatibility, conditional semi-compatibility and Sτ –compatibility. Examples are given to bolster our findings.
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ISSN:2730-5422
DOI:10.1186/s13663-025-00808-2