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

Doru Dumitrescu; Ariana Pitea; Doru Dumitrescu; Ariana Pitea

doi:10.3934/math.2023849

AIMS Mathematics

2023, Volume 8, Issue 7: 16599-16617. doi: 10.3934/math.2023849

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Research article

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

Doru Dumitrescu ^,,
Ariana Pitea

Department of Mathematics and Informatics, University "Politehnica" of Bucharest, Bucharest 060042, Romania

Received: 10 March 2023 Revised: 17 April 2023 Accepted: 24 April 2023 Published: 11 May 2023
MSC : 47H09, 47H10, 54H25

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.
- generalized metric spaces,
- fixed point,
- $ (\alpha, \psi) $-rational type contraction
Citation: Doru Dumitrescu, Ariana Pitea. Fixed point theorems for $ (\alpha, \psi) $-rational type contractions in Jleli-Samet generalized metric spaces[J]. AIMS Mathematics, 2023, 8(7): 16599-16617. doi: 10.3934/math.2023849

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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.

References

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