Next Article in Journal
Efficient Hyper-Parameter Selection in Total Variation-Penalised XCT Reconstruction Using Freund and Shapire’s Hedge Approach
Next Article in Special Issue
Modular Uniform Convexity in Every Direction in Lp(·) and Its Applications
Previous Article in Journal
On Coefficient Functionals for Functions with Coefficients Bounded by 1
Previous Article in Special Issue
Conjugacy of Dynamical Systems on Self-Similar Groups
Open AccessArticle

Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

1
Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
2
Department of Mathematics, Payame Noor University, Tehran, Iran
3
Department of Mathematics, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran
4
Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain
5
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(4), 492; https://doi.org/10.3390/math8040492
Received: 24 January 2020 / Revised: 11 March 2020 / Accepted: 17 March 2020 / Published: 1 April 2020
(This article belongs to the Special Issue New Trends in Analysis and Geometry)
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. View Full-Text
Keywords: fixed point; measure of noncompactness; coupled fixed point; integral equations fixed point; measure of noncompactness; coupled fixed point; integral equations
MDPI and ACS Style

Mohammadi, B.; Shole Haghighi, A.A.; Khorshidi, M.; De la Sen, M.; Parvaneh, V. Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem. Mathematics 2020, 8, 492.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop