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Common Fixed Points of Single and Multivalued Maps in Fuzzy Metric Spaces
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Abstract
In this paper we introduce the notion of common property (EA) in fuzzy metric spaces. Further we prove some common fixed points theorems for hybrid pair of single and multivalued maps under hybrid contractive conditions. Our results extend previous ones in fuzzy metric spaces.
KeywordsFuzzy Metric SpaceCommon Fixed PointCoincidence Point.
- L. A. Zadeh, “Fuzzy Sets,” Information and Control, Vol. 8, No. 3, 1965, pp. 338-353. doi:10.1016/S0019-9958(65)90241-X
- A. George and P. Veeramani, “On Some Results in Fuzzy Metric Spaces,” Fuzzy Sets and Systems, Vol. 64, No. 3, 1994, pp. 395-399. doi:10.1016/0165-0114(94)90162-7
- I. Karmosil and J. Michalek, “Fuzzy Metric Statistical Metric Spaces,” Kybernetica, Vol. 11, No.5, 1975, pp. 336-344.
- Z. K. Deng, “Fuzzy Pseudo-Metric Spaces,” Journal of Mathematical Analysis and Applications, Vol. 86, No. 1, 1982, pp. 74-95. doi:10.1016/0022-247X(82)90255-4
- M. Grabiec, “Fixed Points in Fuzzy Metric Spaces,” Fuzzy Sets and Systems, Vol. 27, No. 3, 1988, pp. 385-389. doi:10.1016/0165-0114(88)90064-4
- O. Kaleva and S. Seikkala, “On Fuzzy Metric Spaces,” Fuzzy Sets and Systems, Vol. 12, No. 3, 1984, pp. 215-229. doi:10.1016/0165-0114(84)90069-1
- S. Sharma, “Common Fixed Point Theorems in Fuzzy Metric Spaces,” Fuzzy Sets and Systems, Vol. 127, No. 3, 2002, pp. 345-352. doi:10.1016/S0165-0114(01)00112-9
- I. Kubiaczyk and S. Sharma, “Common Coincidence Point in Fuzzy Metric Spaces,” Journal of Fuzzy Mathematics, Vol. 11, No. 1, 2003, pp. 1-5.
- B. Singh and M. S. Chauhan, “Common Fixed Points of Compatible Maps in Fuzzy Metric Spaces,” Fuzzy Sets and Systems, Vol. 115, No. 3, 2000, pp. 471-475. doi:10.1016/S0165-0114(98)00099-2
- P. Vijayaraju and Z. M. I. Sajath, “Some Common Fixed Point Theorems in Fuzzy Metric Spaces,” International Journal of Mathematical Analysis, Vol. 3, No. 15, 2009, pp. 701-710.
- M. Abbas, I. Altun and D. Gopal, “Comon Fixed Point Theorems for Non Compatible Mappings in Fuzzy Metric Spaces,” Bulletin of Mathematical Analysis and Applications, Vol. 1, No. 2, 2009, pp. 47-56.
- G. Jungk, “Compatible Mappings and Common Fixed Points,” International Journal of Mathematical Analysis, Vol. 9, No. 4, 1986, pp. 771-779.
- R. P. Pant, “Common Fixed Points of Non Commutative Mappings,” Journal of Mathematical Analysis and Applications, Vol. 188, No. 1, 1994, pp. 436-440. doi:10.1006/jmaa.1994.1437
- A. Aamri and D. E. Moutawkil, “Some New Common Fixed Point Theorems under Strict Contractive Conditions,” Journal of Mathematical Analysis and Applications, Vol. 270, No. 1, 2002, pp. 181-188. doi:10.1016/S0022-247X(02)00059-8