Geraghty–𠔽-Contraction Type Darbo Fixed-Point Theorems With an Application

Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran Mitrovic and Shahla Hosseini

Journal of Mathematics, 2026, vol. 2026, 1-17

Abstract: In this study, Darbo’s fixed-point theorem is extended by employing Geraghty–𠔽-contractions on Banach spaces. The obtained results are then applied to establish the existence of solutions for a fractional integral equation in the space C0,ς, equipped with the Hausdorff measure of noncompactness. To support and validate the main theorems presented, several illustrative examples are provided, highlighting the applicability and effectiveness of the theoretical findings. Moreover, for enhanced clarity and better comprehension, the examples are accompanied by figures and graphical representations, offering a visual demonstration of the practical relevance of the results.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/9270607.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/9270607.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9270607

DOI: 10.1155/jom/9270607

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().