Fixed-point theorems of F⋆−(ψ,ϕ) integral-type contractive conditions on 1E-complete multiplicative partial cone metric spaces over Banach algebras and applications

In this paper, we introduce some user-friendly versions of integral-type fixed-point results and give some modifications of the classical Banach contraction principle by constructing a special type of contractive restrictions of integral forms for weak contraction mappings defined on 1 E -complete m...

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Bibliographic Details
Published in:Journal of inequalities and applications 2023-11, Vol.2023 (1), p.144
Main Authors: Faried, Nashat, Abou Bakr, Sahar Mohamed Ali, Abd El-Ghaffar, H., Almassri, S. S. Solieman
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Existence theorems
Fixed points (mathematics)
Mathematical functions
Mathematics
Mathematics and Statistics
Metric space
Nonlinear differential equations
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Summary:In this paper, we introduce some user-friendly versions of integral-type fixed-point results and give some modifications of the classical Banach contraction principle by constructing a special type of contractive restrictions of integral forms for weak contraction mappings defined on 1 E -complete multiplicative partial cone metric spaces over Banach algebras and formulate some existence and uniqueness results regarding the fixed-point theorems using some integrative conditions. Moreover, we validate the significance our results and exploit them to find the unique solution of a fractional nonlinear differential equation of Caputo type, which complements some previously well-known generalizations found in the literature.
ISSN:1025-5834
1029-242X
DOI:10.1186/s13660-023-03056-3