A fixed point theorem in a generalized metric space for mappings satisfying a contractive condition of integral type. (English) Zbl 1196.54084

Samet, Bessem

Int. J. Math. Anal., Ruse 3, No. 25-28, 1265-1271 (2009).

Summary: We establish a fixed point theorem in the generalized metric spaces introduced by Branciari for mappings satisfying a general contractive inequality of integral type. The obtained results can be considered as an extension of the theorem of A. Branciari [Int. J. Math. Math. Sci. 29, No. 9, 531–536 (2002; Zbl 0993.54040)].

MSC:

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

Keywords:

generalized metric space; fixed point

Citations:

Zbl 0993.54040