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