Fixed Point Results in Archimedean Type Neutrosophic b-Metric Spaces

https://doi.org/10.48185/jmam.v5i3.1201

Authors

  • V.B. SHAKILA Research Scholar, PG and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, India. Department of Mathematics, Sourashtra College, Madurai, Tamilnadu, India
  • Jeyaraman Maduraiveeran Raja Doraisingam Government Arts College, Sivagangai
  • S. ISWARIYA P.G. and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, India

Keywords:

b-metric space;, Neutrosophic b metric spaces;, common fixed point

Abstract

This paper defines Archimedean, Caristi-Krirk balls, and Neutrosophic b metric space (Nb-MS). Using
the Archimedean idea and complete Nb-MS, we have shown the existence of a shared fixed point using
two self-mappings and an upper semicontinuous function. We have demonstrated the existence of a fixed point by employing a k-continuous self-map and an upper semi-continuous function in conjunction with the Archimedean notion and complete Nb-MS. Furthermore, we have proven the completeness of the space by using Archimedean, Nb-MS, and a k-continuous self-map.
MSC 2010: 47H10.

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Published

2024-12-22

How to Cite

SHAKILA, V. ., Maduraiveeran, J., & ISWARIYA, S. . (2024). Fixed Point Results in Archimedean Type Neutrosophic b-Metric Spaces. Journal of Mathematical Analysis and Modeling, 5(3), 50–60. https://doi.org/10.48185/jmam.v5i3.1201

Issue

Vol. 5 No. 3 (2024): In Press

Section

Articles
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Copyright (c) 1970 Jeyaraman Maduraiveeran

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This work is licensed under a Creative Commons Attribution 4.0 International License.