Abstract
The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric spaces. The proposed theorems expand and generalize several well-known comparable results in the literature to ordered cone b-metric spaces. Some supporting examples are given.
Highlights
Fixed point theory has attracted many researchers since 1922 with the admired Banach fixed point theorem
For all x, y ∈ X with y ⊑ x; (ii) there exists x0 ∈ X such that x0 ⊑ fx0; (iii) if an increasing sequence {xn} converges to x in X, xn ⊑ x for all n. They presented the following two common fixed point results in ordered cone metric spaces
We prove some fixed point and common fixed point theorems on ordered cone b-metric spaces
Summary
Fixed point theory has attracted many researchers since 1922 with the admired Banach fixed point theorem. They presented the following two common fixed point results in ordered cone metric spaces.
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