A Study on p-Cyclic Orbital Geraghty type Contractions

 
 
 
  • Abstract
  • Keywords
  • References
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  • 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.

     

     


  • Keywords


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

  • References


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      [7] S. Karpgam and S. Agrawal, Existence of best proximity points for p- cyclic contractions, Fixed point Theory, 13 :99 - 105, 2012.

      [8] M. Petric, BZlatanov, Best proximity points and Fixed points for p- summing maps, Fixed point theory appl., 2012:2012:86

      [9] B. Zlatanov, Best Proximity points for p- Summing Cyclic Orbital Meir - Keeler Contractions, Nonlinear Anal. Model. Control 20 (4) 2015 528-544.

      [10] S. Karpagam and B. Zlztanov, Best proximity points of p-cyclic orbital Meir - Keeler contraction maps, Nonlinear Anal. Model. Control, 21 (6) :790 -806,2016.

      [11] S. Karpagam and B. Zlatanov, A note on p- summing orbital Meir - Keeler contraction maps, Int. J. Pure and Applied Math. Volume 107 no. 1, 2016, 225-243.


 

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Article ID: 26780
 
DOI: 10.14419/ijet.v7i4.10.26780




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