Common fixed point of mappings satisfying rational inequality in Complex valued b-metric spaces

Authors

  • A. K. Dubey Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg 491001, Chhattisgarh
  • Urmila Mishra Vishwavidyalaya Engineering College, Lakhanpur Ambikapur, Chhattisgarh

DOI:

https://doi.org/10.26713/cma.v8i3.443

Keywords:

Complex valued b-metric spaces, Fixed points, Common fixed points

Abstract

In this paper, we prove some common fixed point theorems satisfying rational inequality in complex valued b-metric spaces. The presented theorems extend, generalize and improve the corresponding result of Rouzkard and Imdad. Also, an example is given to illustrate our obtained result.
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Author Biographies

  • A. K. Dubey, Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg 491001, Chhattisgarh

    ASSISTANT PROFESSOR, Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg 491001,Chhattisgarh

  • Urmila Mishra, Vishwavidyalaya Engineering College, Lakhanpur Ambikapur, Chhattisgarh

    ASSISTANT PROFESSOR, Department of Mathematics, Vishwavidyalaya Engineering College,
    Lakhanpur Ambikapur, Chhattisgarh

References

A. Azam, F.Brain, M. Khan, Common fixed point theorems in complex valued metric spaces, Numerical Functional Analysis and Optimization 32 No.3 (2011), 243-253.

Aiman A. Mukheimer, Some common fixed point theorems in complex valued b-metric spaces, The Scientic World Journal, Vol. 2014(2014), Article ID

, 6 pages, http://dx.doi.org/10.1155/2014/587825.

F. Rouzkard, M. Imdad, Some common fixed point theorems on complex valued metric spaces, Comput. Math. Appl.64 (2012), 1866-1874.

H. Aydi, M. Bota, E. Karapinar, S. Mitrovic, A fixed point theorem for set valued quasi-contractions in b-metric spaces, Fixed Point Theory and its

Applications (2012).

I.A. Bakhtin, The contraction principle in quasi-metric spaces, Funct. Anal.30 (1989), 26-37.

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Published

December 30, 2017

Issue

Vol. 8 No. 3 (2017)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Dubey, A. K., & Mishra, U. (2017). Common fixed point of mappings satisfying rational inequality in Complex valued b-metric spaces. Communications in Mathematics and Applications, 8(3), 289-300. https://doi.org/10.26713/cma.v8i3.443