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

Authors

  • B. Bao School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China.
  • L. Shi Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
  • S. Xu Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, 521041, China.
  • V. Cojbasic Rajic Faculty of Economics, University of Belgrade, Kameni$mathrm{check{c}}$ka 6, 11000 Beograd, Serbia.
Abstract:

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.

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Journal title

volume 6  issue 1

pages  9- 22

publication date 2015-02-10

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