Common fixed points for noncontinuous nonself maps on nonmetric spaces. (English) Zbl 0928.54043

Jungck, G.

Far East J. Math. Sci. 4, No. 2, 199-215 (1996).

Summary: Common fixed-point theorems for sets of two to four noncontinuous maps of a subset \(D\) of a semimetric space \(X\) into \(X\) are proven. The role of weakly biased and weakly compatible maps in securing common fixed points in highlighted.

MSC:

54H25

Fixed-point and coincidence theorems (topological aspects)

Keywords:

weakly \(S\)-biased maps; semimetric space; weakly compatible maps