Set-valued dynamics related to convex-valued m-mappings

In this article, we study the set-valued dynamics related to some Euler-Lagrange type functional equations of convex-valued m-mappings. We deal with perturbations of these equations. In order to do this, we use the Banach contraction principle and the Hausdorff distance. Several outcomes on approximate solutions of a few important classic equations are discussed and some applications are given.