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End Point Results in Metric Spaces Endowed with a Graph

Author

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  • Binayak S. Choudhury
  • Nikhilesh Metiya
  • Pradip Debnath

Abstract

We introduce the notion of end point of multivalued mappings in the setting of metric space endowed with a graph and prove some existence results in this context. The mappings are assumed to satisfy certain generalized multivalued almost -contractive type inequalities. Further, the consequences of the corresponding results in the cases of single-valued mappings are also discussed with examples.

Suggested Citation

  • Binayak S. Choudhury & Nikhilesh Metiya & Pradip Debnath, 2016. "End Point Results in Metric Spaces Endowed with a Graph," Journal of Mathematics, Hindawi, vol. 2016, pages 1-7, October.
    • Handle: RePEc:hin:jjmath:9130107
    DOI: 10.1155/2016/9130107
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    Cited by:

    1. Choudhury, Binayak S. & Metiya, Nikhilesh & Kundu, Sunirmal, 2020. "Existence, data-dependence and stability of coupled fixed point sets of some multivalued operators," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).

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