Research article

Applications and theorem on common fixed point in complex valued b-metric space

  • Received: 06 February 2019 Accepted: 18 July 2019 Published: 31 July 2019
  • MSC : 47H10

  • In this paper, a common fixed point theorem for four self-mappings satisfying rational contraction has been proved in complex valued b-metric space. Then, examples are provided to verify the effectiveness and usability of our main results. Finally, we validate our results by proving both the existence and the uniqueness of a common solution of the system of Urysohn integral equations and the existence of a unique solution for linear equations system.

    Citation: Khaled Berrah, Abdelkrim Aliouche, Taki eddine Oussaeif. Applications and theorem on common fixed point in complex valued b-metric space[J]. AIMS Mathematics, 2019, 4(3): 1019-1033. doi: 10.3934/math.2019.3.1019

    Related Papers:

  • In this paper, a common fixed point theorem for four self-mappings satisfying rational contraction has been proved in complex valued b-metric space. Then, examples are provided to verify the effectiveness and usability of our main results. Finally, we validate our results by proving both the existence and the uniqueness of a common solution of the system of Urysohn integral equations and the existence of a unique solution for linear equations system.


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