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

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

Zbl 0993.54040
Full Text: