Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces

作者: Tomonari Suzuki

DOI: 10.1155/AAA/2006/58684

关键词:

摘要: One of our main results is the following convergence theorem for one-parameter nonexpansive semigroups: let C be a bounded closed convex subset Hilbert space E, and {T(t):t∈ℝ

参考文章(21)
Tomonari Suzuki, On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces Proceedings of the American Mathematical Society. ,vol. 131, pp. 2133- 2136 ,(2002) , 10.1090/S0002-9939-02-06844-2
Ronald E. Bruck, Properties of fixed-point sets of nonexpansive mappings in Banach spaces Transactions of the American Mathematical Society. ,vol. 179, pp. 251- 262 ,(1973) , 10.1090/S0002-9947-1973-0324491-8
Naoki Shioji, Wataru Takahashi, Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces Nonlinear Analysis-theory Methods & Applications. ,vol. 34, pp. 87- 99 ,(1998) , 10.1016/S0362-546X(97)00682-2
Rainer Wittmann, Approximation of Fixed Points of Nonexpansive Mappings Archiv der Mathematik. ,vol. 58, pp. 486- 491 ,(1992) , 10.1007/BF01190119
F. E. Browder, NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE Proceedings of the National Academy of Sciences. ,vol. 54, pp. 1041- 1044 ,(1965) , 10.1073/PNAS.54.4.1041
W. A. Kirk, A Fixed Point Theorem for Mappings which do not Increase Distances The American Mathematical Monthly. ,vol. 72, pp. 1004- ,(1965) , 10.2307/2313345
Simeon Reich, Weak convergence theorems for nonexpansive mappings in Banach spaces Journal of Mathematical Analysis and Applications. ,vol. 67, pp. 274- 276 ,(1979) , 10.1016/0022-247X(79)90024-6
Ronald Bruck, A COMMON FIXED POINT THEOREM FOR A COMMUTING FAMILY OF NONEXPANSIVE MAPPINGS Pacific Journal of Mathematics. ,vol. 53, pp. 59- 71 ,(1974) , 10.2140/PJM.1974.53.59