Fixed Points of Weakly Compatible Mappings Using Common (E.A) Like property

Abstract

The aim of this paper is to prove common fixed point theorems in Menger spaces using implicit relation and common (E.A) like property. An example is derived to support our main result. We extend our result to four finite families of self mappings. As an application of our main result, we prove an integral type common fixed point theorem satisfying ψ-contraction condition in Menger space. Our results improve some recent results in Menger spaces.

Keywords

• Menger space
• weakly compatible maps
• (E.A) property
• common (E.A) property
• (E.A) like property, common (E.A) like property, implicit relation