Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces

نویسندگان
Shi, L. ID 1
Cojbasic Rajic, V. ID 2
Bao, B. ID 3
Xu, S. ID 4

1 Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia

2 Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia

3 School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China

4 Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, 521041, China

doi
10.22075/ijnaa.2015.174
چکیده

In 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 point  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.

کلیدواژه‌ها
Fixed point, Cone $b$-metric spaces, Generalized $c$-distance