Compatible Mappings and Its Various Variants in Metric Space

Authors

  • Uday Kumar Karn Department of Mathematics, Patan Multiple Campus, Tribhuvan University, Nepal
  • Chet Raj Bhatta Central Department of Mathematics, Kirtipur, Tribhuvan University, Kathmandu, Nepal
  • Ajay Kumar Chaudhary Department of Mathematics, Tri-Chandra Multiple Campus, Tribhuvan University, Kathmandu, Nepal

DOI:

https://doi.org/10.3126/jnms.v7i2.73110

Keywords:

Commuting mappings, Weakly commuting mapping, Compatible mappings, Reciprocal continuous

Abstract

A study on compatible mappings becomes necessary to do research on multiple self-mappings to find the fixed points, called common fixed points in fixed point theory. To obtain the weaker forms of commuting mappings [16], G. Jungck introduced the notion of compatible mappings [18] in metric space in 1986.

This article presents a study on compatible mappings and their various variants of non-commuting map pings in metric space and verifies its relationship through examples. It facilitates comparative analysis and strengthens the relationship between them.

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Published

2024-12-31

How to Cite

Karn, U. K., Bhatta, C. R., & Chaudhary, A. K. (2024). Compatible Mappings and Its Various Variants in Metric Space. Journal of Nepal Mathematical Society, 7(2), 108–115. https://doi.org/10.3126/jnms.v7i2.73110

Issue

Vol. 7 No. 2 (2024)

Section

Articles

License

© Nepal Mathematical Society