Common Tripled Fixed Point Theorems Under Weaker Conditions

Abstract

We introduce the concept of (EA) property and occasionally w−compatibility for hybrid pair F : X × X × X → 2 X and f : X → X and establish two common tripled fixed point theorems for hybrid pair of mappings under some newly defined weaker conditions on a noncomplete metric space, which is not partially ordered. It is to be noted that to find tripled coincidence point, we do not employ the condition of continuity of any mapping involved therein. We also give an example to validate our result. We improve and generalize several known results.

Multi-valued tripled fixed point results via CLR property in metric spaces with application

“…In [6] the authors introduced the concept of E.A property and occasionally w-compatibility for hybrid pair F : ∆ × ∆ × ∆ → 2 ∆ and g : ∆ → ∆. Khan and Sumitra [12,17] defined E.A and CLR property for coupled mapping.…”

Tripled Coincidence and Common Tripled Fixed Point Theorem for Hybrid Pair of Mappings Satisfying New Contractive Condition

“…Very few researchers focused on tripled fixed point theorems for hybrid pair of mappings including [1,2,3,16,17,18,19,20,21,22,23,24,28,35].…”