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Title: On the equivalence between some kinds of implicit and explicit iterations with applications
Authors: Chang, SS
Kim, JK
Lee, HWJ 
Chan, CK 
Issue Date: 3-Apr-2012
Source: Fixed point theory and applications, 3 Apr. 2012, v. 2012, 55, p. 1-13
Abstract: The purpose of this article is to study the equivalence between some kinds of implicit and explicit iterative approximations. As applications, we utilize our results to study the approximation problems arising in nonexpansive semigroup, variational inclusions and equilibrium problem.
Keywords: Reich's convergence theorem
Xu's convergence theorem
Browder's property
Halpern's property
Fixed point
Moudafi's viscosity approximation
Nonexpansive mapping
Suzuki's type strong convergence theorem
Weak contractive mapping
Publisher: Springer
Journal: Fixed point theory and applications 
ISSN: 1687-1820
EISSN: 1687-1812
DOI: 10.1186/1687-1812-2012-55
Rights: © 2012 Chang et al; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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