We set up two new variants of ψ-contractive mappings designed for two and three maps in metric spaces and originate common fixed point theorems for T-strictly weakly isotone increasing mappings and relatively weakly increasing mappings in complete ordered metric spaces. To demonstrate our results, we give some examples throughout the paper. At the same time, as applications of the presented theorems, we get hold of common fixed point results for generalized contractions of integral type and we prove an existence theorem for solutions of a system of integral equations. © 2012 Nashine et al.; licensee Springer.