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COMMON FIXED POINT THEOREMS IN b-MENGER SPACES

Year 2018, Volume: 1 Issue: 2, 110 - 115, 31.07.2018

Abstract

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

References

  • Bakhtin I.A., Contracting mapping principle in an almost metric space. (Russian) Funkts. Anal. 30, 26-37 (1989).
  • Banach S., Sur les operations dans les ensembles abstraits et leur applications aux equations integrales. Fundam. Maths. 3, 133-181 (1922).
  • Czerwik S., Nonlinear set-valued contraction mappings in b-metric spaces, Att Sem Math Univ. Modena 46(2), 263-276, (1998).
  • Elamrani M., Mbarki A. and Mehdaoui B., Nonlinear contarctions and semigroups in general complete probabilistic metric spaces, Panam. Math. J. 11, 4, pp. 79-87, (2001).
  • Hadzic O., A fixed point theorem in Menger spaces, Publ. Inst. Math. (Beograd) T 20, 107-112, (1979).
  • Mbarki A. and Oubrahim R., Probabilistic b-metric spaces and nonlinear contractions. Fixed Point Theory and Applications (2017) 2017: 29.
  • Menger K., Statistical metrics, Proc. Natl. Acad. Sci. 28, 535-537, (1942).
  • Schweizer B. and Sklar A., Probabilistic Metric Spaces, North-Holland Series in Probability and Applied Mathimatics, 5, (1983).
  • Sehgal V. M. and Bharucha-Reid A. T., Fixed point theorems of contractions mappings in probabilistic metric spaces , Math. Systemes Theory, 6, 97-102, (1972).
Year 2018, Volume: 1 Issue: 2, 110 - 115, 31.07.2018

Abstract

References

  • Bakhtin I.A., Contracting mapping principle in an almost metric space. (Russian) Funkts. Anal. 30, 26-37 (1989).
  • Banach S., Sur les operations dans les ensembles abstraits et leur applications aux equations integrales. Fundam. Maths. 3, 133-181 (1922).
  • Czerwik S., Nonlinear set-valued contraction mappings in b-metric spaces, Att Sem Math Univ. Modena 46(2), 263-276, (1998).
  • Elamrani M., Mbarki A. and Mehdaoui B., Nonlinear contarctions and semigroups in general complete probabilistic metric spaces, Panam. Math. J. 11, 4, pp. 79-87, (2001).
  • Hadzic O., A fixed point theorem in Menger spaces, Publ. Inst. Math. (Beograd) T 20, 107-112, (1979).
  • Mbarki A. and Oubrahim R., Probabilistic b-metric spaces and nonlinear contractions. Fixed Point Theory and Applications (2017) 2017: 29.
  • Menger K., Statistical metrics, Proc. Natl. Acad. Sci. 28, 535-537, (1942).
  • Schweizer B. and Sklar A., Probabilistic Metric Spaces, North-Holland Series in Probability and Applied Mathimatics, 5, (1983).
  • Sehgal V. M. and Bharucha-Reid A. T., Fixed point theorems of contractions mappings in probabilistic metric spaces , Math. Systemes Theory, 6, 97-102, (1972).
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Abderrahim Mbarki

Rachid Oubrahim

Publication Date July 31, 2018
Submission Date May 16, 2018
Acceptance Date August 5, 2018
Published in Issue Year 2018 Volume: 1 Issue: 2

Cite

APA Mbarki, A., & Oubrahim, R. (2018). COMMON FIXED POINT THEOREMS IN b-MENGER SPACES. Journal of Universal Mathematics, 1(2), 110-115.
AMA Mbarki A, Oubrahim R. COMMON FIXED POINT THEOREMS IN b-MENGER SPACES. JUM. July 2018;1(2):110-115.
Chicago Mbarki, Abderrahim, and Rachid Oubrahim. “COMMON FIXED POINT THEOREMS IN B-MENGER SPACES”. Journal of Universal Mathematics 1, no. 2 (July 2018): 110-15.
EndNote Mbarki A, Oubrahim R (July 1, 2018) COMMON FIXED POINT THEOREMS IN b-MENGER SPACES. Journal of Universal Mathematics 1 2 110–115.
IEEE A. Mbarki and R. Oubrahim, “COMMON FIXED POINT THEOREMS IN b-MENGER SPACES”, JUM, vol. 1, no. 2, pp. 110–115, 2018.
ISNAD Mbarki, Abderrahim - Oubrahim, Rachid. “COMMON FIXED POINT THEOREMS IN B-MENGER SPACES”. Journal of Universal Mathematics 1/2 (July 2018), 110-115.
JAMA Mbarki A, Oubrahim R. COMMON FIXED POINT THEOREMS IN b-MENGER SPACES. JUM. 2018;1:110–115.
MLA Mbarki, Abderrahim and Rachid Oubrahim. “COMMON FIXED POINT THEOREMS IN B-MENGER SPACES”. Journal of Universal Mathematics, vol. 1, no. 2, 2018, pp. 110-5.
Vancouver Mbarki A, Oubrahim R. COMMON FIXED POINT THEOREMS IN b-MENGER SPACES. JUM. 2018;1(2):110-5.