Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces
In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we exte...
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| Veröffentlicht in: | Mathematics (Basel) Jg. 7; H. 2; S. 156 |
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| Abstract | In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method. |
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| AbstractList | In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method. |
| Author | Wang, Yuanheng Pan, Chanjuan |
| Author_xml | – sequence: 1 givenname: Chanjuan surname: Pan fullname: Pan, Chanjuan – sequence: 2 givenname: Yuanheng orcidid: 0000-0003-4079-2850 surname: Wang fullname: Wang, Yuanheng |
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| Cites_doi | 10.1007/s10851-014-0523-2 10.1016/j.jmaa.2016.06.025 10.22436/jnsa.009.05.72 10.1007/978-94-009-2121-4 10.1007/s11784-018-0583-9 10.1080/02331934.2013.764522 10.1023/A:1011253113155 10.1007/s11590-011-0286-2 10.22436/jnsa.010.04.24 10.1016/0362-546X(91)90200-K 10.1002/mma.3963 10.1007/s13398-016-0366-3 10.1007/s10898-017-0506-0 10.11650/twjm/1500406684 10.1016/j.na.2009.12.029 10.1155/S1687182004310089 10.1016/j.amc.2015.01.017 10.1137/15100463X 10.1016/j.jmaa.2004.04.059 10.1016/S0377-0427(02)00906-8 10.1007/s11784-018-0526-5 |
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| Copyright | 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| SubjectTerms | accretive operators Algorithms Banach spaces Convergence inertial method Iterative methods Mathematics Splitting Theorems Viscosity viscosity splitting method |
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| Title | Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces |
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