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End point results of generalized setvalued almost contractions in metric spaces endowed with a graph

  • Binayak S. Choudhury
  • D. Khatua
  • N. MetiyaEmail author
  • P. Saha
Original Article
  • 21 Downloads

Abstract

In this paper, we consider multivalued mappings satisfying two different inequalities and obtain end point results for such mappings in a metric space endowed with a graph. The main theorems are illustrated with an example. The line of research is setvalued analysis in the combined domain of graph theory and metric space. The methodology is a blending of graph theoretic and analytic methods.

Keywords

Metric space Directed graph Multivalued mappings End point Fixed point 

Mathematics Subject Classification

54H10 54H25 47H10 

Notes

Acknowledgements

The authors gratefully acknowledge the suggestions made by the learned referee.

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Copyright information

© Sociedad Matemática Mexicana 2019

Authors and Affiliations

  • Binayak S. Choudhury
    • 1
  • D. Khatua
    • 1
  • N. Metiya
    • 2
    Email author
  • P. Saha
    • 1
  1. 1.Department of MathematicsIndian Institute of Engineering Science and TechnologyHowrahIndia
  2. 2.Department of MathematicsSovarani Memorial CollegeHowrahIndia

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