Existence of asymptotically stable solutions for a mixed functional nonlinear integral equation in N variables

Abstract

Motivated by recent known results about the solvability of nonlinear functional integral equations in one, two or N variables, this paper proves the existence of asymptotically stable solutions for a mixed functional integral equation in N variables with values in a general Banach space via a fixed point theorem of Krasnosels'kiĭ type. In order to illustrate the results obtained here, an example is given.