Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
S Takahashi, W Takahashi, M Toyoda - Journal of Optimization Theory and …, 2010 - Springer
… strongly-monotone mapping and B ⊂ H × H is a maximal monotone operator. Then, we prove
a strong convergence … Using this result, we get a strong convergence theorem for finding a …
a strong convergence … Using this result, we get a strong convergence theorem for finding a …
Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
H Iiduka, W Takahashi - Nonlinear Analysis: Theory, Methods & …, 2005 - Elsevier
… Then we show that the sequence converges strongly … strong convergence theorem for finding
a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping…
a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping…
Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces
MO Osilike, FO Isiogugu - Nonlinear Analysis: Theory, Methods & …, 2011 - Elsevier
… We explored an auxiliary mapping in our theorems and proofs and this also yielded a strong
convergence theorem of Halpern’s type for our class of mappings and hence resolved in the …
convergence theorem of Halpern’s type for our class of mappings and hence resolved in the …
[引用][C] Strong convergence theorem for asymptotically nonexpansive mappings
T Shimizu, W Takahashi - Nonlinear Analysis: Theory, Methods & …, 1996 - Elsevier
… strong convergence thoerem for nonexpansive mappings: let T be a nonexpansive mapping
of a … Then, Tk has a unique fixed point uk in C, and uk converges as k -+ 0 strongly to a fixed …
of a … Then, Tk has a unique fixed point uk in C, and uk converges as k -+ 0 strongly to a fixed …
Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings
N Nadezhkina, W Takahashi - SIAM Journal on Optimization, 2006 - SIAM
… a strong convergence theorem … mappings, such that one of these mappings is nonexpansive
and the other is taken from the more general class of Lipschitz pseudocontractive mappings…
and the other is taken from the more general class of Lipschitz pseudocontractive mappings…
Convergence theorems for common solutions of various problems with nonlinear mapping
KS Kim, JK Kim, WH Lim - Journal of Inequalities and Applications, 2014 - Springer
… 357:356-363, 2009), we introduce a new hybrid projection iterative scheme that converges
strongly to a common element of the solution set of a generalized mixed equilibrium problem, …
strongly to a common element of the solution set of a generalized mixed equilibrium problem, …
Strong and weak convergence theorems for common fixed points of nonself asymptotically nonexpansive mappings
L Wang - Journal of Mathematical Analysis and Applications, 2006 - Elsevier
… mappings and to prove some strong and weak convergence theorems for such … and
strong convergence theorems for fixed points of asymptotically nonexpansive mappings…
strong convergence theorems for fixed points of asymptotically nonexpansive mappings…
[PDF][PDF] Strong convergence theorems for nonexpansive nonself-mappings
HK Xu, XM Yin - Nonlinear Analysis: Theory, Methods & …, 1995 - researchgate.net
… In fact, the strong convergence of [xt] as t ~ 1 for a self-mapping T of a bounded C was
proved in a Hilbert space independently by Browder [1] and Halpern [2] in 1967 and in a …
proved in a Hilbert space independently by Browder [1] and Halpern [2] in 1967 and in a …
Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
J Schu - Bulletin of the Australian Mathematical Society, 1991 - cambridge.org
… ) + (1 — ctn)xn converges weakly to some fixed point of T. In arbitrary uniformly convex
Banach spaces similar results are obtained concerning the strong convergence of (in ) to a fixed …
Banach spaces similar results are obtained concerning the strong convergence of (in ) to a fixed …
Strong convergence theorems for asymptotically nonexpansive mappings by hybrid methods
X Qin, Y Su, M Shang - Kyungpook Mathematical Journal, 2008 - koreascience.kr
… prove two strong convergence theorems for asymptotically nonexpansive mappings in Hibert
… of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400-2411] …
… of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400-2411] …
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