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 ɡ : 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.

Keywords

• tripled fixed point
• ordered sets
• generalized metric spaces
• mixed monotone property
• primary 54h25, 47h10
• secondary 54e50