Mixed g-monotone property and quadruple fixed point theorems in partially ordered metric spaces using (φ - ψ) contractions

Abstract

In this paper, we prove some quadruple coincidence and quadruple common fixed point theorems for F : X4 → X and g : X → X satisfying (φ - ψ) contractions in partially ordered G-metric spaces. We illustrate our results based on an example of the main theorems. Also, we deduce quadruple coincidence points for mappings satisfying the contraction condition of integral type. © 2012 Mustafa; licensee Springer.