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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Vydané v:Fixed point theory and algorithms for sciences and engineering Ročník 2025; číslo 1; s. 31
Hlavní autori: Meitei, M. Solomon, Singh, L. Shambhu, Singh, T. Chhatrajit
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.12.2025
Springer Nature B.V
Predmet:
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
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Abstract 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.
AbstractList In this paper, we introduce common fixed point theorems through the context of inverse Ck-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.
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.
Author Meitei, M. Solomon
Singh, L. Shambhu
Singh, T. Chhatrajit
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  surname: Singh
  fullname: Singh, L. Shambhu
  organization: Department of Mathematics, Dhanamanjuri University
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  givenname: T. Chhatrajit
  surname: Singh
  fullname: Singh, T. Chhatrajit
  email: chhatrajit@gmail.com
  organization: Department of Mathematics, Manipur Technical University Imphal
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class functions
Compatible and semi-compatible mappings
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Snippet 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...
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SubjectTerms 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
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