A Study on p-Cyclic Orbital Geraghty type Contractions

  • Authors

    • M. L.Suresh
    • T. Gunasekar
    • S. Karpagam
    • B. Zlatanov
    • . .
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.26780
  • p-cyclic maps, Orbital contraction, Geraghty type contraction.

  • Abstract

    Consider a metric space  and the non empty sub sets, of X. A map called p-cyclic orbital Geraghty type of contraction is introduced.  Convergence of a unique fixed point and a best proximity point for this map is obtained in a uniformly convex Banach space setting.  Also, this best proximity point is the unique periodic point of such a map.

     

     

  • References

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  • How to Cite

    L.Suresh, M., Gunasekar, T., Karpagam, S., Zlatanov, B., & ., . (2018). A Study on p-Cyclic Orbital Geraghty type Contractions. International Journal of Engineering & Technology, 7(4.10), 883-887. https://doi.org/10.14419/ijet.v7i4.10.26780

    Received date: 2019-01-30

    Accepted date: 2019-01-30

    Published date: 2018-10-02