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Fixed point results for F-contractive mappings of Hardy-Rogers-type

Cosentino Monica (Università degli Studi di Palermo, Dipartimento di Matematica e Informatica, Palermo, Italy)
Vetroa Pasquale (Università degli Studi di Palermo, Dipartimento di Matematica e Informatica, Palermo, Italy)

Recently, Wardowski introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for self-mappings on complete metric spaces or complete ordered metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.

Keywords: metric spaces, ordered metric spaces, fixed points, F-contractions of Hardy-Rogers-type