abstract 63

Bulletin of Computational Applied Mathematics (Bull CompAMa)

63

A common fixed point theorem for compatible mappings satisfying a contractive condition involving altering distance functions

Wilmer Barrera

Our goal in this paper is to obtain a generalization of Jungck's fixed point theorem for a pair of compatible mappings satisfying a contractive inequality which involves altering distance functions. Also, we use functions as contractive parameters. Our theorem extends some well-known results in the literature. At the end, we provide an example in support of our result.

Keywords: Complete metric space; common fixed point; altering distance function; compatible function; Picard iteration.

Cite this paper:

Barrera W.

A common fixed point theorem for compatible mappings satisfying a contractive condition involving altering distance functions

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 9, No.2, pp.43-57, 2021.