Fixed point theorems for $ (\alpha, \psi) $-rational type contractions in Jleli-Samet generalized metric spaces

Abstract

The aim of this article is to present some results regarding $ (\alpha, \psi) $-rational type contractions in the setting of the generalized metric spaces introduced by Jleli and Samet. By the nature of these types of contractions which use also comparison functions, new fixed point theorems are established. Already known facts appear as consequences of our outcomes. Examples and comments point out the applicability of our approach.

Keywords

• generalized metric spaces
• fixed point
• $ (\alpha
• \psi) $-rational type contraction