Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation. (English) Zbl 1087.54506

Summary: The concept of semicompatibility is introduced in fuzzy metric spaces and it is applied to prove results on the existence of unique common fixed points of four self-maps satisfying an implicit relation. Recently, V. Popa has employed a similar but not the same implicit relation to obtain a fixed point theorem for \(d\)-complete topological spaces. All the results of this paper are new.


54A40 Fuzzy topology
54H25 Fixed-point and coincidence theorems (topological aspects)
Full Text: DOI EuDML