Theorems on Compatible Mapping Types in Complete Menger Space

This research article presents two common fixed theorems in complete Menger space in two pairs of self-mappings by using altering distance function in the context of compatible mappings of type (P) and compatible mappings of type (K). Article discusses the topological properties of Menger spaces and mappings between these spaces. This result generalizes the result of Khan et al.[18], and extends the results of [8], and [9].

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Publication Details

Journal
The Nepali Mathematical Sciences Report
Published
2024-12-31
DOI
https://doi.org/10.3126/nmsr.v41i2.73230
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Theorems on Compatible Mapping Types in Complete Menger Space

Ajay Kumar Chaudhary
The Nepali Mathematical Sciences Report
Fixed Point Theorems Analysis
article

Theorems on Compatible Mapping Types in Complete Menger Space

Ajay Kumar Chaudhary
article en

Abstract

This research article presents two common fixed theorems in complete Menger space in two pairs of self-mappings by using altering distance function in the context of compatible mappings of type (P) and compatible mappings of type (K). Article discusses the topological properties of Menger spaces and mappings between these spaces. This result generalizes the result of Khan et al.[18], and extends the results of [8], and [9].

The Nepali Mathematical Sciences ReportVol. 41(2)
Tribhuvan University (NP)
Openalex Percentile: Top 62%
Fixed Point Theorems Analysis
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Theorems on Compatible Mapping Types in Complete Menger Space — Ajay Kumar Chaudhary · The Nepali Mathematical Sciences Report (2024) | TGRS Research Map | TGRS