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Fixed-point theorems of ${F}^{\star}- ( \psi,\phi )$ integral-type contractive conditions on $1_{E}$-complete multiplicative partial cone metric spaces over Banach algebras and applications

Article scientifique 2023 Anglais

Résumé

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 $1_{E}$ 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.

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Faried, N., Bakr, S., -Ghaffar, H., Almassri, S. (2023). Fixed-point theorems of ${F}^{\star}- ( \psi,\phi )$ integral-type contractive conditions on $1_{E}$-complete multiplicative partial cone metric spaces over Banach algebras and applications. https://doi.org/10.1186/s13660-023-03056-3

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Auteur(s)

Nashat Faried Sahar Mohamed Ali Abou Bakr H. Abd El -Ghaffar S. S. Solieman Almassri

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