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

Mathematics

Maryam Khorshidi¹  Vahid Parvaneh²  Babak Mohammadi³  AliAsghar Shole Haghighi⁴  Manuel De la Sen⁵ 

[1] Department of Mathematics, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran;Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran;Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran;Department of Mathematics, Payame Noor University, Tehran, Iran;Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain;

关键词: fixed point;    measure of noncompactness;    coupled fixed point;    integral equations;   

DOI  :  10.3390/math8040492

来源: DOAJ

【 摘 要 】

In this paper, an extension of Darbo’s fixed point theorem via $\theta$ -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.

【 授权许可】

Unknown