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 …

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 stronglystrong convergence theorem for finding
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 …

[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 …

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

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, …

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

[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 …

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 …

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] …