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- Title
Fixed-point theorems of F⋆−(ψ,ϕ) integral-type contractive conditions on 1E-complete multiplicative partial cone metric spaces over Banach algebras and applications.
- Authors
Faried, Nashat; Abou Bakr, Sahar Mohamed Ali; Abd El-Ghaffar, H.; Almassri, S. S. Solieman
- Abstract
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.
- Subjects
BANACH algebras; METRIC spaces; BANACH spaces; NONLINEAR differential equations; FRACTIONAL differential equations; CONTRACTIONS (Topology)
- Publication
Journal of Inequalities & Applications, 2023, Vol 2023, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-023-03056-3