University of MaraghehSahand Communications in Mathematical Analysis2322-580717420201101Fixed Point Results for Extensions of Orthogonal Contraction on Orthogonal Cone Metric Space951074472510.22130/scma.2020.118420.722ENNurcanBilgili GungorDepartment of Mathematics, Faculty of Science and Arts, Amasya University, 05000, Amasya, Turkey.0000-0001-5069-5881DuranTurkogluDepartment of Mathematics, Faculty of Science, Gazi University, 06500, Ankara, Turkey.0000-0002-8667-1432Journal Article20191211In 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.https://scma.maragheh.ac.ir/article_44725_16c093275742479a5fc5748fb75ae178.pdf