A Note on Semi-Compatible Maps and Occasionally Weakly Compatible Maps in Non-archimedean Menger PM-Space
Arihant Jain *
Department of Applied Mathematics, Shri Guru Sandipani Institute of Technology and Science, Ujjain (M.P.) 456 550, India.
Abhishek Sharma
Department of Applied Mathematics, Shri Guru Sandipani Institute of Technology and Science, Ujjain (M.P.) 456 550, India.
Basant Chaudhary
Department of Mathematics, Mewar University, Chittorgarh (Rajasthan), India.
*Author to whom correspondence should be addressed.
Abstract
The concept of semi-compatible and occasionally weakly compatible mappings is used to prove a common fixed point theorem. The theorem thus obtained is a generalization of the result of Cho et al. [10] in a non-Archimedean Menger PM-space.
Keywords: Non-archimedean menger probabilistic metric space, common fixed points, compatible maps, occasionally weakly compatible maps