Some Results for Compatible maps on Neutrosophic Metric Spaces

Authors

  • S Sowndrarajan PG and Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal, A liated to Periyar University, Salem, Tamil Nadu, India
  • M Jeyaraman PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, A liated to Alagappa University, Karaikudi, Tamil Nadu, India

Keywords:

Fixed point, Neutrosophic metric Space, Compatible maps

Abstract

The neutrosophic theory has been e ectively used to address uncertainty and ambiguity. Neutro sophic Metric Space (NMS) was introduced by Krisci and Simsek in 2020. Following that, several kinds of  compatible maps and their characteristics were investigated in the context of Intuitionistic fuzzy metric spaces  and fuzzy metric spaces. In this paper, the author introduce the notion of compatible maps of type (X) and type (B ) in neutrosophic metric space. For this purpose, four non-comparable mappings are used to prove the basic results. Furthermore, we prove several common xed points results for compatible maps of type (X) and type (B) in neutrosophic metric space and provide a non-trivial examples.

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Published

2023-12-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

S Sowndrarajan, & M Jeyaraman. (2023). Some Results for Compatible maps on Neutrosophic Metric Spaces. Neutrosophic Sets and Systems, 60, 467-480. https://fs.unm.edu/nss8/index.php/111/article/view/3801