Gregus type fixed point results for tangential mappings satisfying contractive conditions of integral type. (English) Zbl 1167.54016

Pathak, Hemant Kumar; Shahzad, Naseer

Bull. Belg. Math. Soc. - Simon Stevin 16, No. 2, 277-288 (2009).

Summary: The notion of pair-wise tangential mappings, which is a generalization of mappings satisfying the (E.A) property, is introduced and used to prove a common fixed point theorem of Gregus type for a quadruple of self mappings of a metric space satisfying a strict general contractive condition of integral type. Our main result generalizes a recent result of A. Djoudi and A. Aliouche [J. Math. Anal. Appl. 329, No. 1, 31–45 (2007; Zbl 1116.47047)].

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
47H10	Fixed-point theorems

Keywords:

weakly compatible mappings; coincidence points; common fixed points; property (E.A); common property (E.A); pair-wise tangential property