A Study on p-Cyclic Orbital Geraghty type Contractions


  • M. L.Suresh
  • T. Gunasekar
  • S. Karpagam
  • B. Zlatanov
  • . .






p-cyclic maps, Orbital contraction, Geraghty type contraction.


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.




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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 2019-01-30
Accepted 2019-01-30
Published 2018-10-02