Common fixed points of fuzzy maps

We prove common fixed point theorems for a pair of fuzzy mappings satisfying Edelstein, Alber and Guerr-Delabriere type contractive conditions in a metric linear space.

[1]  D. F. Bailey Some Theorems on Contractive Mappings , 1966 .

[2]  Jong Sook Bae,et al.  Fixed point theorems for weakly contractive multivalued maps , 2003 .

[3]  Sung Jin Cho,et al.  A fixed point theorem for contractive-type fuzzy mappings , 1994 .

[4]  C. Waters A fixed point theorem for locally nonexpansive mappings in normed spaces , 1986 .

[5]  Mujahid Abbas,et al.  Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition , 2006 .

[6]  Rashwan Ahmed Rashwan,et al.  Common fixed point theorems for fuzzy mappings , 2002 .

[7]  Ya. I. Alber,et al.  Principle of weakly contractive maps in Hilbert spaces , 1997 .

[8]  Locally contractive and expansive mappings , 1982 .

[9]  Simeon Reich,et al.  Fixed points of contractive functions , 1972 .

[10]  M. Edelstein,et al.  An extension of Banach’s contraction principle , 1961 .

[11]  Thakyin Hu,et al.  Fixed Point Theorems for Multi-Valued Mappings , 1980, Canadian Mathematical Bulletin.

[12]  S. Hassi,et al.  Oper. Theory Adv. Appl. , 2006 .

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

[14]  S. Nadler Multi-valued contraction mappings. , 1969 .

[15]  B. Rhoades,et al.  A common fixed point theorem for a sequence of fuzzy mappings , 1995 .

[16]  B. Rhoades,et al.  Some theorems on weakly contractive maps , 2001 .

[17]  Alexander Haščák,et al.  Fixed point theorems for multivalued mappings , 1985 .

[18]  Stanisław Heilpern,et al.  Fuzzy mappings and fixed point theorem , 1981 .