Coupled fixed points of (ϕˆ,ψˆ,θˆ)-contractive mappings in partially ordered b-metric spaces

Abstract

We aim to prove the existence and uniqueness of the fixed points for the self mappings satisfying generalized contractions involving altering distance functions in ordered metric type space. The results obtained in this work are generalizing some important findings in the literature and few illustrations are given to support the outcomes.

Keywords

• Fixed point
• Compatible and weakly compatible mappings
• Coincidence and coupled coincidence points
• (ϕˆ,ψˆ,θˆ)-contraction
• Uniqueness fixed points