Tseng type methods for inclusion and fixed point problems with applications

© 2019 by the authors. An algorithm is introduced to find an answer to both inclusion problems and fixed point problems. This algorithm is a modification of Tseng type methods inspired by Mann's type iteration and viscosity approximation methods. On certain conditions, the iteration obtained fr...

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Main Authors: Raweerote Suparatulatorn, Anchalee Khemphet
Format: Journal
Published: 2020
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079597922&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67891
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-678912020-04-02T15:10:28Z Tseng type methods for inclusion and fixed point problems with applications Raweerote Suparatulatorn Anchalee Khemphet Mathematics © 2019 by the authors. An algorithm is introduced to find an answer to both inclusion problems and fixed point problems. This algorithm is a modification of Tseng type methods inspired by Mann's type iteration and viscosity approximation methods. On certain conditions, the iteration obtained from the algorithm converges strongly. Moreover, applications to the convex feasibility problem and the signal recovery in compressed sensing are considered. Especially, some numerical experiments of the algorithm are demonstrated. These results are compared to those of the previous algorithm. 2020-04-02T15:10:28Z 2020-04-02T15:10:28Z 2019-12-01 Journal 22277390 2-s2.0-85079597922 10.3390/MATH7121175 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079597922&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67891
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Raweerote Suparatulatorn
Anchalee Khemphet
Tseng type methods for inclusion and fixed point problems with applications
description © 2019 by the authors. An algorithm is introduced to find an answer to both inclusion problems and fixed point problems. This algorithm is a modification of Tseng type methods inspired by Mann's type iteration and viscosity approximation methods. On certain conditions, the iteration obtained from the algorithm converges strongly. Moreover, applications to the convex feasibility problem and the signal recovery in compressed sensing are considered. Especially, some numerical experiments of the algorithm are demonstrated. These results are compared to those of the previous algorithm.
format Journal
author Raweerote Suparatulatorn
Anchalee Khemphet
author_facet Raweerote Suparatulatorn
Anchalee Khemphet
author_sort Raweerote Suparatulatorn
title Tseng type methods for inclusion and fixed point problems with applications
title_short Tseng type methods for inclusion and fixed point problems with applications
title_full Tseng type methods for inclusion and fixed point problems with applications
title_fullStr Tseng type methods for inclusion and fixed point problems with applications
title_full_unstemmed Tseng type methods for inclusion and fixed point problems with applications
title_sort tseng type methods for inclusion and fixed point problems with applications
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85079597922&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/67891
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