Tripled Fixed Point Theorems of Caristi type Contraction in Partially Ordered Metric Space

  • Authors

    • G Adilakshmi
    • G N.V.Kishore
    • N Veerraju
    2018-08-24
    https://doi.org/10.14419/ijet.v7i3.31.18274
  • Partially ordered Metric space, compatible maps, tripled fixed point, Caristi type contraction, lower semi continuous function.

  • Abstract

    The main aim of this paper is to obtain a unique common tripled fixed point theorem in partial ordered metric space using Caristi type contraction.

     

     

  • References

    1. [1] T.G.Bhaskar and V.Lakshmikantham, “Fixed point theorems in partially ordered metric spaces and applicationsâ€, Nonlinear Analysis, 65, 2006, 1379-1393.

      [2] V. Berinde and M. Borcut, “ Tripled fixed point theorems for contraction type mappings in partially ordered metric spacesâ€, Nonlinear Analysis, Volume 74(15), 2011, 4889-4897.

      [3] K.P.R.Rao and G.N.V.Kishore, “ A unique common tripled fixed point theorem in partially ordered cone metric spacesâ€, Bulletin of mathematical Aanlyisi and Applications, Volume 3, 20112, 13-222.

      [4] V. Lakshmikantham and Lj.Ciric “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spacesâ€, Nonlinear Analysis, 70, 2009, 4341-4349.

      [5] J. S. Jung, Y. J. Cho, S. M. Kang, B. S. Lee, and Y. K. Choi, “Coincidence point theorems in generating spaces of quasi metric familyâ€, Fuzzy Sets and Systems, Vol.116(3), 2000, 471-479.

      [6] Caristi J, “Fixed point theorems for mappings satisfying in ward conditionsâ€, Transactions of the American Mathematical Society Vol. 215, 1976, pp. 241-251.

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  • How to Cite

    Adilakshmi, G., N.V.Kishore, G., & Veerraju, N. (2018). Tripled Fixed Point Theorems of Caristi type Contraction in Partially Ordered Metric Space. International Journal of Engineering & Technology, 7(3.31), 98-101. https://doi.org/10.14419/ijet.v7i3.31.18274

    Received date: 2018-08-25

    Accepted date: 2018-08-25

    Published date: 2018-08-24