Geodesic
Common fixed point theorems for fuzzy mappings
Archivum mathematicum, Tome 38 (2002) no. 3, pp. 219-226
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper, we prove common fixed point theorems for fuzzy mappings satisfying a new inequality initiated by Constantin [6] in complete metric spaces.
In this paper, we prove common fixed point theorems for fuzzy mappings satisfying a new inequality initiated by Constantin [6] in complete metric spaces.
Classification : 54A40, 54H25
Keywords: fuzzy sets; fuzzy mappings; fixed point 
@article{ARM_2002_38_3_a5,
     author = {Rashwan, R. A. and Ahmed, Magdy A.},
     title = {Common fixed point theorems for fuzzy mappings},
     journal = {Archivum mathematicum},
     pages = {219--226},
     year = {2002},
     volume = {38},
     number = {3},
     mrnumber = {1921593},
     zbl = {1068.54008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2002_38_3_a5/}
}
TY  - JOUR
AU  - Rashwan, R. A.
AU  - Ahmed, Magdy A.
TI  - Common fixed point theorems for fuzzy mappings
JO  - Archivum mathematicum
PY  - 2002
SP  - 219
EP  - 226
VL  - 38
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ARM_2002_38_3_a5/
LA  - en
ID  - ARM_2002_38_3_a5
ER  - 
%0 Journal Article
%A Rashwan, R. A.
%A Ahmed, Magdy A.
%T Common fixed point theorems for fuzzy mappings
%J Archivum mathematicum
%D 2002
%P 219-226
%V 38
%N 3
%U http://geodesic.mathdoc.fr/item/ARM_2002_38_3_a5/
%G en
%F ARM_2002_38_3_a5
Rashwan, R. A.; Ahmed, Magdy A. Common fixed point theorems for fuzzy mappings. Archivum mathematicum, Tome 38 (2002) no. 3, pp. 219-226. http://geodesic.mathdoc.fr/item/ARM_2002_38_3_a5/

[1] Arora, S. C., Sharma, V.: Fixed point theorems for fuzzy mappings. Fuzzy Sets and Systems 110 (2000), 127–130. | MR

[2] Beg, I., Azam, A.: Fixed points of asymptotically regular multivalued mappings. J. Austral. Math. Soc. 53 (1992), 313–326. | MR

[3] Bose, R. K., Sahani, D.: Fuzzy mappings and fixed point theorems. Fuzzy Sets and Systems 21 (1987), 53–58. | MR

[4] Chang, S.-S.: Fixed point theorems for fuzzy mappings. Fuzzy Sets and Systems 17 (1985), 181–187. | MR | Zbl

[5] Chitra, A.: A note on the fixed point theorems for fuzzy mappings. Fuzzy Sets and Systems 19 (1986), 305–308. | MR

[6] Constantin, A.: Common fixed points of weakly commuting mappings in 2-metric spaces. Math. Japonica 36, No. 3 (1991), 507–514. | MR | Zbl

[7] Heilpern, S.: Fuzzy mappings and fixed point theorem. J. Math. Anal. Appl. 83 (1981), 566–569. | MR | Zbl

[8] Hicks, T. L.: Multivalued mappings on probabilistic metric spaces. Math. Japon. 46, No. 3 (1997), 413–418. | MR | Zbl

[9] Iseki, K.: Multi-valued contraction mappings in complete metric spaces. Rend. Sem. Mat. Univ. Padova 53 (1975), 15–19. | MR

[10] Lee, B. S., Cho, S. J.: A fixed point theorems for contractive type fuzzy mappings. Fuzzy Sets and Systems 61 (1994), 309–312. | MR

[11] Markin, J.: A fixed point theorem for set valued mappings. Bull. Amer. Math. Soc. 74 (1968), 639–640. | MR | Zbl

[12] Nadler, S. B.: Multivalued contraction mappings. Pacific J. Math. 30 (1969), 475–488. | MR

[13] Park, J. Y., Jeong, J. U.: Fixed point theorems for fuzzy mappings. Fuzzy Sets and Systems 87 (1997), 111–116. | MR

[14] Pathak, H. K., Khan, M. S.: Fixed points of fuzzy mappings under Caristi-Kirk type condition. J. Fuzzy Math. 6, No. 1 (1998), 119–126. | MR

[15] Popa, V.: Common fixed points for multifunctions satisfying a rational inequality. Kobe J. Math. 2 (1985), 23–28. | MR | Zbl

[16] Rhoades, B. E.: A common fixed point theorem for a sequence of fuzzy mappings. Int. J. Math. Math. Sci. 18, No. 3 (1995), 447–450. | MR | Zbl

[17] Rhoades, B. E.: Fixed points of some fuzzy maps. Soochow J. Math. 22 (1996), 111–115. | MR

[18] Singh, B., Chauhan, M. S.: Fixed points of associated multimaps of fuzzy maps. Fuzzy Sets and Systems 110 (2000), 131–134. | MR

[19] Singh, S. L. and Talwar, R.: Fixed points of fuzzy mappings. Soochow J. Math. 19 (1993), 95–102. | MR

[20] Singh, K. L., Whitfield, J. H. M.: Fixed points for contractive type multivalued mappings. Math. Japon. 27 (1982), 117–124. | MR

[21] Som, T., Mukherjee, R. N.: Some fixed point theorems for fuzzy mappings. Fuzzy sets and Systems 33 (1989), 213–219. | MR

[22] Zadeh, L. A.: Fuzzy sets. Inform. and Control 8 (1965), 338–353. | MR | Zbl