Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings
The main objective of this article is to propose two novel parallel methods for solving common variational inclusion and common fixed point problems in a real Hilbert space. Strong convergence theorems of both methods are established by allowing for some mild conditions. Moreover, numerical studies...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/1910411 |
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| _version_ | 1849304411940061184 |
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| author | Thanasak Mouktonglang Kanyuta Poochinapan Pariwate Varnakovida Raweerote Suparatulatorn Sompop Moonchai |
| author_facet | Thanasak Mouktonglang Kanyuta Poochinapan Pariwate Varnakovida Raweerote Suparatulatorn Sompop Moonchai |
| author_sort | Thanasak Mouktonglang |
| collection | DOAJ |
| description | The main objective of this article is to propose two novel parallel methods for solving common variational inclusion and common fixed point problems in a real Hilbert space. Strong convergence theorems of both methods are established by allowing for some mild conditions. Moreover, numerical studies of the signal recovery problem consisting of various blurred filters demonstrate the computational behavior of the proposed methods and other existing methods. |
| format | Article |
| id | doaj-art-130a53b013b74962bb332c8f12a25d68 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-130a53b013b74962bb332c8f12a25d682025-08-20T03:55:44ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/1910411Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive MappingsThanasak Mouktonglang0Kanyuta Poochinapan1Pariwate Varnakovida2Raweerote Suparatulatorn3Sompop Moonchai4Advanced Research Center for Computational SimulationAdvanced Research Center for Computational SimulationKMUTT Geospatial Engineering and Innovation CenterElementary Education ProgramAdvanced Research Center for Computational SimulationThe main objective of this article is to propose two novel parallel methods for solving common variational inclusion and common fixed point problems in a real Hilbert space. Strong convergence theorems of both methods are established by allowing for some mild conditions. Moreover, numerical studies of the signal recovery problem consisting of various blurred filters demonstrate the computational behavior of the proposed methods and other existing methods.http://dx.doi.org/10.1155/2023/1910411 |
| spellingShingle | Thanasak Mouktonglang Kanyuta Poochinapan Pariwate Varnakovida Raweerote Suparatulatorn Sompop Moonchai Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings Journal of Mathematics |
| title | Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings |
| title_full | Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings |
| title_fullStr | Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings |
| title_full_unstemmed | Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings |
| title_short | Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings |
| title_sort | convergence analysis of two parallel methods for common variational inclusion problems involving demicontractive mappings |
| url | http://dx.doi.org/10.1155/2023/1910411 |
| work_keys_str_mv | AT thanasakmouktonglang convergenceanalysisoftwoparallelmethodsforcommonvariationalinclusionproblemsinvolvingdemicontractivemappings AT kanyutapoochinapan convergenceanalysisoftwoparallelmethodsforcommonvariationalinclusionproblemsinvolvingdemicontractivemappings AT pariwatevarnakovida convergenceanalysisoftwoparallelmethodsforcommonvariationalinclusionproblemsinvolvingdemicontractivemappings AT raweerotesuparatulatorn convergenceanalysisoftwoparallelmethodsforcommonvariationalinclusionproblemsinvolvingdemicontractivemappings AT sompopmoonchai convergenceanalysisoftwoparallelmethodsforcommonvariationalinclusionproblemsinvolvingdemicontractivemappings |