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SOME GENERAL CONVERGENCE PRINCIPLES WITH APPLICATIONS
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 Title & Authors
SOME GENERAL CONVERGENCE PRINCIPLES WITH APPLICATIONS
Zhou, H.Y.; Gao, G.L.; Guo, G.T.; Cho, Y.J.;
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 Abstract
In the present paper, some general convergence principles are established in metric spaces and then theses principles are applied to the convergence of the iterative sequences for approximating fixed points of certain classes of mappings. By virtue of our principles, most of the latest results obtained by several authors can be deduced easily.
 Keywords
the iterative scheme of monotone type;convergence principle and metric space;
 Language
English
 Cited by
1.
Strong Convergence of an Implicit Algorithm in CAT(0) Spaces, Fixed Point Theory and Applications, 2011, 2011, 1  crossref(new windwow)
2.
A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings”, Abstract and Applied Analysis, 2009, 2009, 1  crossref(new windwow)
3.
CONVERGENCE THEOREMS FOR GENERALIZED I-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN A HADAMARD SPACES, Communications of the Korean Mathematical Society, 2016, 31, 3, 483  crossref(new windwow)
4.
Convergence of three-step iterations for asymptotically nonexpansive mappings, Applied Mathematics and Computation, 2007, 187, 2, 883  crossref(new windwow)
5.
Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings, Computers & Mathematics with Applications, 2004, 47, 4-5, 707  crossref(new windwow)
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