Common fixed point theorems in fuzzy metric spaces

In this paper we prove common fixed point theorems for six mappings in fuzzy metric space. Our main results extend, generalize and fuzzify some known results in fuzzy metric spaces, probabilistic metric spaces and uniform spaces.

[1]  R. K. Bose,et al.  Fuzzy mappings and fixed point theorems , 1987 .

[2]  S. Sessa,et al.  On common fixed points of compatible mappings in metric and Banach spaces , 1988 .

[3]  G. Jungck,et al.  Commuting Mappings and Fixed Points , 1976 .

[4]  B. Schweizer,et al.  Statistical metric spaces. , 1960 .

[5]  G. Jungck Compatible mappings and common fixed points , 1986 .

[6]  A. George,et al.  On some results in fuzzy metric spaces , 1994 .

[7]  Jin-xuan Fang,et al.  On fixed point theorems in fuzzy metric spaces , 1992 .

[8]  D Butnarin FIXED POINT FOR FUZZY MAPPINGS , 1982 .

[9]  M. A. Erceg,et al.  Metric spaces in fuzzy set theory , 1979 .

[10]  Sushil Sharma,et al.  On Fuzzy Metric Space , 2003 .

[11]  R Badard,et al.  Fixed point theorems for fuzzy numbers , 1984 .

[12]  Saranjit Singh,et al.  Common fixed points of maps on fuzzy metric spaces , 1994 .

[13]  Yeol Je Cho,et al.  Fixed degree and fixed point theorems for fuzzy mappings in probabilistic metric spaces , 1997, Fuzzy Sets Syst..

[14]  Mariusz Grabiec,et al.  Fixed points in fuzzy metric spaces , 1988 .

[15]  B. Rhoades,et al.  A comparison of various definitions of contractive mappings , 1977 .

[16]  Salvatore Sessa,et al.  ON A WEAK COMMUTATIVITY CONDITION OF MAPPINGS IN FIXED POINT CONSIDERATIONS , 1982 .

[17]  Chang Shih-sen FIXED POINT THEOREMS FOR FUZZY MAPPINGS , 1985 .

[18]  Osmo Kaleva,et al.  On fuzzy metric spaces , 1984 .

[19]  Byung-Soo Lee,et al.  Fixed point theorems for fuzzy mappings and applications , 1996 .

[20]  Dan Butnariu,et al.  Fixed points for fuzzy mappings , 1982 .

[21]  Y. J. Cho,et al.  Coincidence point theorems and minimization theorems in fuzzy metric spaces , 1997, Fuzzy Sets Syst..

[22]  Yeol Je Cho,et al.  COMPATIBLE MAPPINGS OF TYPE (A) AND COMMON FIXED POINTS , 1993 .

[23]  Ivan Kramosil,et al.  Fuzzy metrics and statistical metric spaces , 1975, Kybernetika.

[24]  O. Hadzic,et al.  Fixed point theorems for multivalued mappings in some classes of fuzzy metic spaces , 1989 .

[25]  Zike Deng,et al.  FUZZY PSEUDO-METRIC SPACES , 1982 .

[26]  Yeol Je Cho,et al.  Minimization theorems for fixed point theorems in fuzzy metric spaces and applications , 1994 .

[27]  Yeol Je Cho,et al.  Coincidence theorems for set-valued mappings and Ekeland's variational principle in fuzzy metric spaces , 1996, Fuzzy Sets Syst..