On a system of three max-type nonlinear difference equations.

The primary focus of this paper is to investigate the boundedness and asymptotic behavior of the following symmetric system of max-type difference equations Xn+1 = max{c, ypn/zqn-1}, yn+1 = max {c, zpn/xqn-1}, zn+1 = max {c, xpn/yqn-1}, n ∊ N0, where the parameters c, p,q ∊ (0, ∞) and the initial conditions x-1, x0, y-1, y0, z-1, z0 are arbitrary positive real numbers. Our main results considerably improve results appearing in the literature (see, Stević, (2014) [29]). [ABSTRACT FROM AUTHOR]