Metric projection and convergence theorems for nonexpansive mappings in Hadamard spaces

H Dehghan, J Rooin - arXiv preprint arXiv:1410.1137, 2014 - arxiv.org
For a nonempty convex subset $ C $ of a Hadamard space $ X $, it is proved that $ u= P_Cx
$ if and only if $\langle\overrightarrow {xu},\overrightarrow {uy}\rangle\geqslant0 $ for all …

A hybrid algorithm for pseudo-contractive mappings

Y Yao, YC Liou, G Marino - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
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[HTML][HTML] New methods with perturbations for non-expansive mappings in Hilbert spaces

Y Yao, N Shahzad - Fixed Point Theory and Applications, 2011 - Springer
In this paper, we suggest and analyze two iterative algorithms with perturbations for non-
expansive mappings in Hilbert spaces. We prove that the proposed iterative algorithms …

Triple hierarchical variational inequalities

QH Ansari, LC Ceng, H Gupta - Nonlinear Analysis: Approximation Theory …, 2014 - Springer
In this chapter, we give a survey on hierarchical variational inequality problems and triple
hierarchical variational inequality problems. By combining hybrid steepest descent method …

Strong convergence theorems for strict pseudo-contractions in Hilbert spaces

Y Yao, R Chen - Journal of Applied Mathematics and Computing, 2010 - Springer
In this paper, we suggest and analyze some iterative algorithms for strict pseudo-
contractions in the sense of Browder-Petryshyn in a real Hilbert space. We prove that the …

Strong convergence of an iterative method for nonexpansive mappings with new control conditions

Y Yao, YC Liou, H Zhou - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
Strong convergence of an iterative method for nonexpansive mappings with new control
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Some notes on Bauschke's condition

T Suzuki - Nonlinear Analysis: Theory, Methods & Applications, 2007 - Elsevier
In this paper, we discuss Bauschke's condition which requires that the fixed point set of the
composition of nonexpansive mappings is equal to the intersection of the individual fixed …

An implicit viscosity technique of nonexpansive mapping in CAT (0) spaces

I Ahmad, M Ahmad - Open Journal of Mathematical …, 2017 - ebooks.manu2sent.com
In this paper, we present a new viscosity technique of nonexpansive mappings in the
framework of CAT (0) spaces. The strong convergence theorems of the proposed technique …

Strong convergence of an iterative algorithm on an infinite countable family of nonexpansive mappings

Y Yao, YC Liou, SM Kang - Applied mathematics and computation, 2009 - Elsevier
Let C be a nonempty closed convex subset of a real strictly convex and reflexive Banach
space E which has a uniformly Gâteaux differentiable norm. Let f: C→ C be a given …

Banach 空间中渐近非扩张映象的收敛性

郭庆义, 周迎春, 马丽蓉 - 四川师范大学学报: 自然科学版, 2008 - cqvip.com
Banach空间中渐近非扩张映象的收敛性-[维普官方网站]-www.cqvip.com-维普网 我的维普
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