Solvability of infinite system of integral equations of Hammerstein type in three variables in tempering sequence spaces c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }

Abstract

The objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }, utilizing the Meir-Keeler condensing operators. Our research builds upon the findings of Malik and Jalal. Furthermore, we provide illustrative examples to demonstrate the implications of our established conditions.

Keywords

• hausdorff measure of non-compactness
• meir-keeler condensing operators
• system of integral equations
• tempering sequence spaces
• 47h08
• 47g15
• 47h10