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Set-Valued Hardy-Rogers Type Contraction in 0-Complete Partial Metric Spaces

Author

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  • Satish Shukla
  • Stojan Radenović
  • Calogero Vetro

Abstract

In this paper we introduce set-valued Hardy-Rogers type contraction in 0-complete partial metric spaces and prove the corresponding theorem of fixed point. Our results generalize, extend, and unify several known results, in particular the recent Nadler’s fixed point theorem in the context of complete partial metric spaces established by Aydi et al. (2012). As an application of our results, a homotopy theorem for such mappings is derived. Also, some examples are included which show that our generalization is proper.

Suggested Citation

  • Satish Shukla & Stojan Radenović & Calogero Vetro, 2014. "Set-Valued Hardy-Rogers Type Contraction in 0-Complete Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jijmms:652925
    DOI: 10.1155/2014/652925
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    Cited by:

    1. Esra Yolacan, 2016. "Fixed Point Theorems for Geraghty Type Contractive Mappings and Coupled Fixed Point Results in 0-Complete Ordered Partial Metric Spaces," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, August.

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