TY - JOUR
T1 - Fixed point theorems for nonexpansive mappings on nonconvex sets in uced banach spaces
AU - Dlu, Wei Shih
AU - Huang, Young Y.E.
AU - Yen, Chi Lin
PY - 2002
Y1 - 2002
N2 - It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T:C→C has a fixed point whenever C is a finite union of nonempty weakly compact convex subsets of a Banach space X which is uniformly convex in every direction. Furthermore, if (T i) iεI is any compatible family of strongly nonexpansive self-mappings on such a C and the graphs of T i, iεI, have a nonempty intersection, then T i, iεI, have a common fixed point in C:
AB - It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T:C→C has a fixed point whenever C is a finite union of nonempty weakly compact convex subsets of a Banach space X which is uniformly convex in every direction. Furthermore, if (T i) iεI is any compatible family of strongly nonexpansive self-mappings on such a C and the graphs of T i, iεI, have a nonempty intersection, then T i, iεI, have a common fixed point in C:
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U2 - 10.1155/S0161171202107113
DO - 10.1155/S0161171202107113
M3 - Article
AN - SCOPUS:17844368089
SN - 0161-1712
VL - 31
SP - 251
EP - 257
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
IS - 4
ER -