Research article

Solving the system of nonlinear integral equations via rational contractions

  • Received: 22 October 2020 Accepted: 11 January 2021 Published: 21 January 2021
  • MSC : 54H25

  • In this paper, some coupled coincidence point theorems for two mappings established using rational type contractions in the setting of partially ordered $ \mathscr{G}- $metric spaces. Moreover, supporting examples are provided to strengthen our obtained results. By considering $ \mathscr{G}- $metric space, we propose a fairly simple solution for a system of nonlinear integral equations by using fixed point technique.

    Citation: Kumara Swamy Kalla, Sumati Kumari Panda, Thabet Abdeljawad, Aiman Mukheimer. Solving the system of nonlinear integral equations via rational contractions[J]. AIMS Mathematics, 2021, 6(4): 3562-3582. doi: 10.3934/math.2021212

    Related Papers:

  • In this paper, some coupled coincidence point theorems for two mappings established using rational type contractions in the setting of partially ordered $ \mathscr{G}- $metric spaces. Moreover, supporting examples are provided to strengthen our obtained results. By considering $ \mathscr{G}- $metric space, we propose a fairly simple solution for a system of nonlinear integral equations by using fixed point technique.



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