Fixed Point Results on Interval-Valued Fuzzy Metric Space using notation of Pairwise Compatible Maps and Occasionally Weakly Compatible Maps with Application

Vaishali Deshmukh *

Department of Mathematics, S.M.S Govt. Model Science College Gwalior, India.

B. P. S. Jadon

Department of Mathematics, S.M.S Govt. Model Science College Gwalior, India.

Ruchi Singh

Department of Mathematics, Pandit S.N. Shukla University, Shahdol, India.

S. K. Malhotra

Department of Mathematics, Dr. Shyama Prasad Mukharjee, Science College, India.

*Author to whom correspondence should be addressed.


Abstract

The purpose of the paper is to obtain common fixed point results on interval-valued fuzzy metric space for occasionally weakly compatible maps (OWC) using contractive conditions. With the concept of \(\tau\)norm, interval numbers, and some important properties of interval-valued \(\tau\)norm.

Keywords: Interval-valued fuzzy metric space (IVFMS), contractive condition, fixed point, common fixed point, occasionally weakly compatible (OWC) mappings


How to Cite

Deshmukh, V., Jadon, B. P. S., Singh, R., & Malhotra, S. K. (2023). Fixed Point Results on Interval-Valued Fuzzy Metric Space using notation of Pairwise Compatible Maps and Occasionally Weakly Compatible Maps with Application. Asian Research Journal of Mathematics, 19(11), 104–114. https://doi.org/10.9734/arjom/2023/v19i11757

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