... and F, g : X ®X are mappings of X into itself. One says F is g-non-decreasing if for x, y Î X, we havegx gy⇒ Fx Fy.We introduce the following definition.Definition 2.3 Let (X, p) be ... p(Fxn, Fxn+1) for all n ∈ N.Letting n ® +∞ in the above inequality and using (7), we obtainlimn→+∞p(Fxn, Fxn)=0.Therefore, from the definition of psand using (14), we get limm,n®+∞p(Fxn, ... pp. 125–139. Springer, Berlin (1998).doi:10.1007/BFb005354610. Ćirić, L: Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces. NonlinearAnal. 72,...