COMMON FIXED POINT THEOREMS IN b-MENGER SPACES
Yıl 2018,
Cilt: 1 Sayı: 2, 110 - 115, 31.07.2018
Abderrahim Mbarki
,
Rachid Oubrahim
Öz
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.
Kaynakça
- 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).
Yıl 2018,
Cilt: 1 Sayı: 2, 110 - 115, 31.07.2018
Abderrahim Mbarki
,
Rachid Oubrahim
Kaynakça
- 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).