Theorems on Compatible Mapping Types in Complete Menger Space

Authors

  • Ajay Kumar Chaudhary Department of Mathematics, Trichandra Multiple Campus, Tribhuvan University, Kathmandu, Nepal

Keywords:

Common fixed point, Menger space, Compatible mappings of type (P), Compatible mappings of type (K), Altering distance function

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].
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Published

2024-12-31

How to Cite

Theorems on Compatible Mapping Types in Complete Menger Space. (2024). The Nepali Mathematical Sciences Report, 41(2), 105-121. https://doi.org/10.3126/nmsr.v41i2.73230

Issue

Vol. 41 No. 2 (2024)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report

How to Cite

Theorems on Compatible Mapping Types in Complete Menger Space. (2024). The Nepali Mathematical Sciences Report, 41(2), 105-121. https://doi.org/10.3126/nmsr.v41i2.73230