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.

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References

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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.

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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

Section

Research Article