In this work, we investigate the existence of solutions for the particular type of the eighth-order boundary value problem. We prove our results using classical version of Leray–Schauder nonlinear alternative fixed point theorem. Also we produce a few examples to illustrate our results.

The purpose of this paper is to prove coupled fixed point theorems using simulation functions that extend the results of Kojasteh et al . As an application we prove a coupled best proximity points using simulation functions.