zbMATH — the first resource for mathematics

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
Zbl 0993.54040
Full Text: