Multivariate generalized Meir–Keeler condensing operators and their applications to systems of integral equations

In this work, we introduce the concepts of multivariate generalized Meir–Keeler condensing operator, and multivariate L-function and prove some new fixed point theorems with the aid of the measure of non-compactness. Our results generalize and extend a lot of comparable results in the literature. Also, we use these results to discuss the solvability for a system of functional integral equations of Volterra type in three variables. Finally, we present an example to support our results.