한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제28권1호
  • /
  • Pages.1-13
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  • 2021
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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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)
  • 투고 : 2018.12.09
  • 심사 : 2020.12.02
  • 발행 : 2021.02.28
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초록

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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참고문헌

  1. M. Aamri & D. El Moutawakil: Common fixed under contractions in symmetric spaces. Appl Mathematics E-notes 3 (2003), 156-162.
  2. R. Baskaran & PV. Subrahmanyam: A note on the solution of a class of functional equations. Appl. Anal. 22 (1986), 235-241. https://doi.org/10.1080/00036818608839621
  3. R. Bellman & ES. Lee: Functional equations in dynamic programming. Aequ. Math. 17 (1978), 1-18. https://doi.org/10.1007/BF01818535
  4. BC. Dhage: Generalized metric space and mapping with fixed point. Bull. Calcutta Math. Soc. 84 (1992), 329-336.
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  7. J. Mojaradi Afra: Fixed point type theorem in S-metric spaces. Theory of Approximation and App. 10 (2016), no. 2, 33-41.
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  10. S. Sedghi, N. Shobe & A. Aliouche: A generalization of fixed point theorem in S-metric spaces. Mat. Vesnik 64 (2012), 258-266.