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Fixed-point theorems of Fââ(Ď,Ď) integral-type contractive conditions on 1E-complete multiplicative partial cone metric spaces over Banach algebras and applications.
- Source :
- Journal of Inequalities & Applications; 11/8/2023, Vol. 2023 Issue 1, p1-26, 26p
- Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2023
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 173515542
- Full Text :
- https://doi.org/10.1186/s13660-023-03056-3