Proinov type contractions on dislocated b-metric spaces

In this paper, we improve the Proinov theorem by adding certain rational expressions to the definition of the corresponding contractions. After that, we prove fixed point theorems for these modified Proinov contractions in the framework of dislocated b -metric spaces. We show some illustrative examp...

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Veröffentlicht in:	Advances in difference equations 2021-03, Vol.2021 (1), p.1-16, Article 164
Hauptverfasser:	Alqahtani, Badr, Alzaid, Sara S., Fulga, Andreea, Roldán López de Hierro, Antonio Francisco
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Contraction mapping Difference and Functional Equations Fixed point theory Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations Fixed points (mathematics) Functional Analysis Mathematics Mathematics and Statistics Metric space Ordinary Differential Equations Partial Differential Equations Simulation function Theorems
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Beschreibung
Zusammenfassung:	In this paper, we improve the Proinov theorem by adding certain rational expressions to the definition of the corresponding contractions. After that, we prove fixed point theorems for these modified Proinov contractions in the framework of dislocated b -metric spaces. We show some illustrative examples to indicate the validity of the main results.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03329-5