Coupled measure of noncompactness and functional integral equations

Abstract

The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC. Also, we tend to prove some results of coupled and tripled MNC for the family of JS-contractive-type mappings. Moreover, an application with an example is provided to illustrate the results.

Keywords

• fixed-point
• js-contraction-type mapping
• darbo’s fixed-point theorem
• measure of noncompactness
• coupled measure of noncompactness
• functional integral equation
• 47h09
• 47h10
• 34a12