Common fixed point of multivalued graph contraction in metric spaces

Authors

  • Masoud Ghods Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
  • Masoud Hadian Dehkordi Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
Abstract:

In this paper, we introduce the (G-$psi$) contraction in a metric space by using a graph. Let $F,T$ be two multivalued mappings on $X.$ Among other things, we obtain a common fixed point of the mappings $F,T$ in the metric space $X$ endowed with a graph $G.$

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Journal title

volume 7  issue 1

pages  225- 230

publication date 2016-02-12

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