Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application

Journal of Mathematics 2026 Open access

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Authors: Samira Hadi Bonab, Hasan Hosseinzadeh, Reza Alayi, Zoran D. Mitrović, Shahla Hosseini
DOI: 10.1155/jom/9270607
Cited by: 0
References: 16

Abstract

In this paper, we extend Darbo's fixed point theorem through the concept of Geraghty-L-contractions in Banach space. We will apply these contraction conditions to find the existence of solution of a fractional integral equation by using combinations of functions in a Banach space. In addition, an application is presented. We also provide an example to confirm the results.

Fields of Study & Subjects

Fixed Point Theorems Analysis Functional Equations Stability Results Nonlinear Differential Equations Analysis

Publication details

Journal / source
Journal of Mathematics
Volume
2026
Issue
1
Publication date
1 January 2026
Language
EN