Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups

作者: Kazuhide Nakajo , Wataru Takahashi

DOI: 10.1016/S0022-247X(02)00458-4

关键词:

摘要: In this paper, we show strong convergence theorems for nonexpansive mappings and semigroups in Hilbert spaces by the hybrid method mathematical programming.

参考文章(10)
Naoki Shioji, Wataru Takahashi, STRONG CONVERGENCE THEOREMS FOR CONTINUOUS SEMIGROUPS IN BANACH SPACES Mathematica japonicae. ,vol. 50, pp. 57- 66 ,(1999)
M.V. Solodov, B.F. Svaiter, Forcing strong convergence of proximal point iterations in a Hilbert space Mathematical Programming. ,vol. 87, pp. 189- 202 ,(2000) , 10.1007/S101079900113
Rainer Wittmann, Approximation of Fixed Points of Nonexpansive Mappings Archiv der Mathematik. ,vol. 58, pp. 486- 491 ,(1992) , 10.1007/BF01190119
Shoji Kamimura, Wataru Takahashi, Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces Journal of Approximation Theory. ,vol. 106, pp. 226- 240 ,(2000) , 10.1006/JATH.2000.3493
R. Tyrrell Rockafellar, Monotone Operators and the Proximal Point Algorithm SIAM Journal on Control and Optimization. ,vol. 14, pp. 877- 898 ,(1976) , 10.1137/0314056
Benjamin Halpern, Fixed points of nonexpanding maps Bulletin of the American Mathematical Society. ,vol. 73, pp. 957- 961 ,(1967) , 10.1090/S0002-9904-1967-11864-0
Tomoo Shimizu, Wataru Takahashi, Strong Convergence to Common Fixed Points of Families of Nonexpansive Mappings Journal of Mathematical Analysis and Applications. ,vol. 211, pp. 71- 83 ,(1997) , 10.1006/JMAA.1997.5398
Zdzisław Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings Bulletin of the American Mathematical Society. ,vol. 73, pp. 591- 597 ,(1967) , 10.1090/S0002-9904-1967-11761-0
W. Takahashi, Nonlinear Functional Analysis Fixed Point Theory and its Applications. ,(2000)