Research Article
Year 2021,
, 33 - 46, 31.03.2021
Abstract
This work aims to generalize the Banach contraction theorem to M-fuzzy cone metric spaces. We construct generalized M-fuzzy cone contractive conditions for three self mappings with which they have a unique common fixed point.
Keywords
References
- Frechet, M., Sur quelques points de calcul fonctionnel, Rend. Circ. Mat. Paleremo, 22(1906), 1-74.
- George, A., and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and Systems, 64(1994), 395-399.
- Gregori, V., Sapena, A., On fixed point theorems in fuzzy metric spaces, Fuzzy sets and Systems, 125(2002),245-252.
- Huang, L., Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332(2007),1468-1476.
- Kaleva, O., and Seikkala, S., On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984) 215-229.
- Kramosil, O., and Michalek, J., Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975) 326-334.
- Saif U. Rehman et.al., Common fixed point theorems for a pair of self mappings in fuzzy cone metric spaces, Abs. Appl. Analysis, 2019(2841606)(2019), 10 pages.
- Sedghi, S., Shobe, N., Fixed point theorem in M-fuzzy metric spaces with property (E), Adv. Fuzzy Math., 1(1)(2006), 55-65.
- Tarkan Oner et. al., Fuzzy cone metric spaces, J. Nonlinear Sci. Appl., 8(2015), 610-616.
- Zadeh, L.A., Fuzzy sets, Inform. and Control, 8(1965), 338-353.
Year 2021,
, 33 - 46, 31.03.2021
Abstract
References
- Frechet, M., Sur quelques points de calcul fonctionnel, Rend. Circ. Mat. Paleremo, 22(1906), 1-74.
- George, A., and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and Systems, 64(1994), 395-399.
- Gregori, V., Sapena, A., On fixed point theorems in fuzzy metric spaces, Fuzzy sets and Systems, 125(2002),245-252.
- Huang, L., Zhang, X., Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332(2007),1468-1476.
- Kaleva, O., and Seikkala, S., On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984) 215-229.
- Kramosil, O., and Michalek, J., Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975) 326-334.
- Saif U. Rehman et.al., Common fixed point theorems for a pair of self mappings in fuzzy cone metric spaces, Abs. Appl. Analysis, 2019(2841606)(2019), 10 pages.
- Sedghi, S., Shobe, N., Fixed point theorem in M-fuzzy metric spaces with property (E), Adv. Fuzzy Math., 1(1)(2006), 55-65.
- Tarkan Oner et. al., Fuzzy cone metric spaces, J. Nonlinear Sci. Appl., 8(2015), 610-616.
- Zadeh, L.A., Fuzzy sets, Inform. and Control, 8(1965), 338-353.
There are 10 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Articles |
| Authors | |
| Publication Date | March 31, 2021 |
| Published in Issue | Year 2021 |