Some Fixed Point Theorems in C-complete Complex Valued Metric Spaces

Authors

  • Anil Kumar Dubey Department of Applied Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh 491001
  • Shweta Bibay Department of Mathematics, Dr. C.V. Raman University, Kota, Bilaspur, Chhattisgarh 495113
  • R. P. Dubey Department of Mathematics, Dr. C.V. Raman University, Kota, Bilaspur, Chhattisgarh 495113
  • M. D. Pandey Department of Applied Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh 491001

DOI:

https://doi.org/10.26713/cma.v9i4.1036

Keywords:

Complex valued metric spaces, Common fixed points, C-complete complex valued metric spaces

Abstract

In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality in C-complete complex valued metric spaces. The results of this paper generalize and extend the known results in C-complete complex valued metric spaces.

Downloads

Download data is not yet available.

References

A. Azam, B. Fisher and M. Khan, Common fixed point theorems in complex valued metric spaces, Numer. Funct. Anal. Optim. 32(3) (2011), 243 – 253.

A.K. Dubey, M. Tripathi and R.P. Dubey, Various fixed point theorems in complex valued b-metric spaces, International Journal of Engineering Mathematics 2016 (2016), Article ID 7072606, 7 pages, DOI: 10.1155/2016/7072606.

F. Rouzkard and M. Imdad, Some common fixed point theorems on complex valued metric spaces, Computer and Mathematics with Applications 64 (2012), 1866 – 1874, DOI: 10.1016/j.camwa.2012.02.063.

K. Sitthikul and S. Saejung, Some fixed point theorems in complex valued metric spaces, Fixed Point Theory and Applications 2012 (2012), 189, DOI: 10.1186/1687-1812-2012-189.

M. Kumar, P. Kumar, S. Kumar and S. Araci, Weakly compatible maps in complex valued metric spaces and an application to solve Urysohn integral equation, Filomat 30(10) (2016), 2695 – 2709, DOI: 10.2298/FIL1610695K.

W. Sintunavarat and P. Kumam, Generalized common fixed point theorems in complex valued metric spaces and applications, Journal of Inequalities and Applications 2012(1) (2012), 84, DOI: 10.1186/1029-242X-2012-84.

W. Sintunavart, Y.J. Cho and P. Kumam, Urysohn integral equation approach by common fixed points in complex valued metric spaces, Advances in Difference Equations 2013 (2013), 49, DOI: 10.1186/1687-1847-2013-49.

Downloads

Published

25-12-2018
CITATION

How to Cite

Dubey, A. K., Bibay, S., Dubey, R. P., & Pandey, M. D. (2018). Some Fixed Point Theorems in C-complete Complex Valued Metric Spaces. Communications in Mathematics and Applications, 9(4), 581–591. https://doi.org/10.26713/cma.v9i4.1036

Issue

Vol. 9 No. 4 (2018)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.