The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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SOME NEW APPLICATIONS OF S-METRIC SPACES BY WEAKLY COMPATIBLE PAIRS WITH A LIMIT PROPERTY

  • Afra, J. Mojaradi (Department of Pure Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University Lahijan) ;
  • Sabbaghan, M. (Department of Pure Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University Lahijan)
  • Received : 2018.12.09
  • Accepted : 2020.12.02
  • Published : 2021.02.28
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Abstract

In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.

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References

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