Some existence results on a class of inclusions

Abstract

In this paper‎, ‎we introduce the generalized system nonlinear variational inclusions‎ ‎and prove the existence of its solution in normed spaces‎. ‎We provide‎ ‎examples of applications related to a system nonlinear variational‎ ‎inclusions in the sense of Verma‎, ‎a coupled fixed point problem‎, ‎considered by Bhaskar and Lakshmikantham‎, ‎a coupled coincidence‎ ‎point considered by Lakshmikantham and Ćirić‎. ‎Also‎, ‎we‎ ‎generalized coupled best approximations theorem‎.