Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68226120150301Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces92217410.22075/ijnaa.2015.174ENB.BaoSchool of Mathematics and Statistics, Hubei Normal University,
Huangshi, 435002, ChinaS.XuDepartment of Mathematics and Statistics, Hanshan
Normal University, Chaozhou, 521041, ChinaL.ShiFaculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, SerbiaV.Cojbasic RajicFaculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, SerbiaJournal Article20130823In this paper, we introduce a concept of a generalized $c$-distance in ordered cone $b$-metric spaces and, by using the concept, we prove some fixed point theorems in ordered cone $b$-metric spaces. Our results generalize the corresponding results obtained by Y. J. Cho, R. Saadati, Shenghua Wang (Y. J. Cho, R. Saadati, Shenghua Wang, Common fixed pointÂ heorems on generalized distance in ordered cone metric spaces, J. Computers and Mathematics with Application. 61 (2011), 1254-1260). Furthermore, we give some examples and an application to support our main results.https://ijnaa.semnan.ac.ir/article_174_6fefe720b17c5a41acbe25bc5f0d44a8.pdf