A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces
作者： Jean-Philippe Chancelier
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摘要: of C into itself. The CQ Algorithm when applied to a sequence ofmappings H itself is the same as Haugazeau method [4] studied in [1,Algorithm 3.1] and T -class mappings.We straighforwardly generalize, Section 2, take accountmappings We denote this new class by
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W. A. Kirk, Kazimierz Goebel, Topics in metric fixed point theory ,(1990)
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
Kazuhide Nakajo, Wataru Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups Journal of Mathematical Analysis and Applications. ,vol. 279, pp. 372- 379 ,(2003) , 10.1016/S0022-247X(02)00458-4
Felix E. Browder, Convergence theorems for sequences of nonlinear operators in Banach spaces Mathematische Zeitschrift. ,vol. 100, pp. 201- 225 ,(1967) , 10.1007/BF01109805
Wataru Takahashi, Yukio Takeuchi, Rieko Kubota, Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces Journal of Mathematical Analysis and Applications. ,vol. 341, pp. 276- 286 ,(2008) , 10.1016/J.JMAA.2007.09.062
Satit Saejung, Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Fixed Point Theory and Applications. ,vol. 2008, pp. 745010- ,(2008) , 10.1155/2008/745010
Heinz H. Bauschke, Patrick L. Combettes, A Weak-to-Strong Convergence Principle for Fejé-Monotone Methods in Hilbert Spaces Mathematics of Operations Research. ,vol. 26, pp. 248- 264 ,(2001) , 10.1287/MOOR.26.2.248.10558
N. G. Lloyd, TOPICS IN METRIC FIXED POINT THEORY (Cambridge Studies in Advanced Mathematics 28) Bulletin of the London Mathematical Society. ,vol. 24, pp. 95- 96 ,(1992) , 10.1112/BLMS/24.1.95