Year-end Sale % OFF 
Abstract
In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.
Highlights
Introduction and PreliminariesIntegral equations are equations in which an unknown function emerges under an integral sign
The existence of solutions for nonlinear integral equations have been perused in many papers via applying the measures of noncompactness approach which was initiated by Kuratowski [4]
The concepts of α-ψ and β-ψ condensing operators have been defined and using them some new fixed point results via the technique of measure of noncompactness have been presented
Summary
Integral equations are equations in which an unknown function emerges under an integral sign. The concepts of α-ψ and β-ψ condensing operators have been defined and using them some new fixed point results via the technique of measure of noncompactness have been presented. Let ∆ be the following subfamily of Γ consists of all functions W : R+ → R so that (W1 ) W is a continuous and strictly increasing mapping;. Let Ω be a nonempty, bounded, closed and convex subset of a Banach space E. Each continuous and compact mapping W : Ω → Ω possesses at least one fixed point in the set Ω. Let Ω be a nonempty, bounded, closed and convexsubset of a Banach space E and let Υ : Ω → Ω be a continuous mapping. Υ admits at least a fixed point in Ω
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
