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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Bibliographic Details
Published inAdvances in difference equations Vol. 2021; no. 1; pp. 1 - 16
Main Authors Alqahtani, Badr, Alzaid, Sara S., Fulga, Andreea, Roldán López de Hierro, Antonio Francisco
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 10.03.2021
Springer Nature B.V
SpringerOpen
Subjects
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
Fixed point theory
Simulation function
Contraction mapping
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Summary: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