Fixed Point Results for Extensions of Orthogonal Contraction on Orthogonal Cone Metric Space

Abstract

In this paper, some fixed point results of self mapping which is defined on orthogonal cone metric spaces are given by using extensions of orthogonal contractions. And by taking advantage of these results, the necessary conditions for self mappings on orthogonal cone metric space to have P property are investigated. Also an example is given to illustrate the main results.

Keywords

• fixed point
• periodic point
• orthogonal set
• orthogonal contraction
• orthogonal cone metric