An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations

Cogent Mathematics & Statistics

Shahram Banaei¹ 

[1] Bonab Branch, Islamic Azad University;

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

DOI  :  10.1080/25742558.2019.1614319

来源: DOAJ

【 摘 要 】

In this paper, we extend Darbo’s fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained results, we analyze the existence of solutions for a system of integral equations.

【 授权许可】

Unknown