Solution of nonlinear integral equations via fixed point theorems in G-metric spaces

  • Authors

    • Rashwan Rashwan Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
    • Samera Saleh Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
    2014-11-21
    https://doi.org/10.14419/ijamr.v3i4.3651
  • Common fixed point, partially ordered set, dominating maps.

  • The main aim of this paper is to prove that the existence and uniqueness of solutions for systems of simultaneous Volterra  Hammerstein and Urysohn nonlinear integral equations in G-metric spaces and  partially ordered G-metric spaces settings  by using common fixed point theorems satisfying generalized contractive conditions.

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    Rashwan, R., & Saleh, S. (2014). Solution of nonlinear integral equations via fixed point theorems in G-metric spaces. International Journal of Applied Mathematical Research, 3(4), 561-571. https://doi.org/10.14419/ijamr.v3i4.3651