A strong convergence of a modified Krasnoselskii‐Mann method for non‐expansive mappings in Hilbert spaces
Abstract
In this paper, we introduce a new method based on the well‐known Krasnoselskii‐Mann's method for non‐expansive mappings in Hilbert spaces. We show that the proposed method has strong convergence for non‐expansive mappings. Keywords: non‐expansive mapping, fixed point, modified Krasnoselskii‐Mann's method, strong convergence, Hilbert space.
First published online: 09 Jun 2011
Keywords:
non-expansive mapping, fixed point, modified Krasnoselskii-Mann’s method, strong convergence, Hilbert spaceHow to Cite
Yao, Y., & Cho, Y. J. (2010). A strong convergence of a modified Krasnoselskii‐Mann method for non‐expansive mappings in Hilbert spaces. Mathematical Modelling and Analysis, 15(2), 265-274. https://doi.org/10.3846/1392-6292.2010.15.265-274
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Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2010-04-20
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Copyright
Copyright (c) 2010 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Yao, Y., & Cho, Y. J. (2010). A strong convergence of a modified Krasnoselskii‐Mann method for non‐expansive mappings in Hilbert spaces. Mathematical Modelling and Analysis, 15(2), 265-274. https://doi.org/10.3846/1392-6292.2010.15.265-274