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

Autor:	Faried, Nashat, Abou Bakr, Sahar Mohamed Ali, Abd El-Ghaffar, H., Almassri, S. S. Solieman
Předmět:	BANACH algebras METRIC spaces BANACH spaces NONLINEAR differential equations FRACTIONAL differential equations CONTRACTIONS (Topology)
Zdroj:	Journal of Inequalities & Applications; 11/8/2023, Vol. 2023 Issue 1, p1-26, 26p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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