Tripled and coincidence fixed point theorems for contractive mappings satisfying φ-maps in partially ordered metric spaces

Abstract

In this paper, we study some tripled fixed and coincidence point theorems for two mappings F: X×X×X → X and g: X → X satisfying a nonlinear contraction based on φ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.