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Common Fixed Point Theorems in b-Menger Spaces

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Recent Advances in Intuitionistic Fuzzy Logic Systems

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 372))

Abstract

In this work, we prove a common fixed point theorem in b-Menger spaces for nonlinear contractions. An example is provided to illustrate this result.

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References

  1. I.A. Bakhtin, Contracting mapping principle in an almost metric space, (Russian) Funkts. Anal. 30, 26–37 (1989)

    MATH  Google Scholar 

  2. S. Banach, Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales. Fundam. Maths. 3, 133–181 (1922)

    Article  Google Scholar 

  3. S. Czerwik, Nonlinear set-valued contraction mappings in b-metric spaces. Atti Sem. Math Univ. Modena 46(2), 263–276 (1998)

    MathSciNet  MATH  Google Scholar 

  4. M. Elamrani, A. Mbarki, B. Mehdaoui, Nonlinear contarctions and semigroups in general complete probabilistic metric spaces. Panam. Math. J. 11(4), 79–87 (2001)

    MATH  Google Scholar 

  5. O. Hadzić, A fixed point theorem in Menger spaces. Publ. Inst. Math. (Beograd) T 20, 107–112 (1979)

    Google Scholar 

  6. A. Mbarki, R. Oubrahim, Probabilistic \(b\)-metric spaces and nonlinear contractions. Fixed Point Theor. Appl. 2017, 29 (2017)

    Article  MathSciNet  Google Scholar 

  7. K. Menger, Statistical metrics. Proc. Natl. Acad. Sci. 28, 535–537 (1942)

    Article  MathSciNet  Google Scholar 

  8. B. Schweizer, A.Sklar, in Probabilistic Metric Spaces, North-Holland Series in Probability and Applied Mathematics, vol 5 (1983)

    Google Scholar 

  9. V.M. Sehgal, A.T. Bharucha-Reid, Fixed point theorems of contractions mappings in probabilistic metric spaces. Math. Systemes Theor. 6, 97–102 (1972)

    Article  Google Scholar 

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Correspondence to Rachid Oubrahim .

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Mbarki, A., Oubrahim, R. (2019). Common Fixed Point Theorems in b-Menger Spaces. In: Melliani, S., Castillo, O. (eds) Recent Advances in Intuitionistic Fuzzy Logic Systems. Studies in Fuzziness and Soft Computing, vol 372. Springer, Cham. https://doi.org/10.1007/978-3-030-02155-9_22

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