The split common fixed point problem for multivalued demicontractive mappings and its applications

The split common fixed point problem for multivalued demicontractive mappings and its applications

© 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. In this article, we consider the split common fixed point problem for two infinite families of multivalued mappings in real Hilbert spaces. We introduce an algorithm based on the viscosity method for solving the split common fixed point...

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Main Authors: Pachara Jailoka, Suthep Suantai
Format: Journal
Published: 2019
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85064925196&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65678
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-656782019-08-05T04:39:22Z The split common fixed point problem for multivalued demicontractive mappings and its applications Pachara Jailoka Suthep Suantai Mathematics © 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. In this article, we consider the split common fixed point problem for two infinite families of multivalued mappings in real Hilbert spaces. We introduce an algorithm based on the viscosity method for solving the split common fixed point problem for two infinite families of multivalued demicontractive mappings. We establish a strong convergence result under some suitable conditions. As applications, we also apply our main result to the split variational inequality problem and the split common null point problem. Finally, we give the numerical example for supporting our main theorem. 2019-08-05T04:39:22Z 2019-08-05T04:39:22Z 2019-04-01 Journal 15791505 15787303 2-s2.0-85064925196 10.1007/s13398-018-0496-x https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85064925196&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65678
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Pachara Jailoka
Suthep Suantai
The split common fixed point problem for multivalued demicontractive mappings and its applications
description © 2018, Springer-Verlag Italia S.r.l., part of Springer Nature. In this article, we consider the split common fixed point problem for two infinite families of multivalued mappings in real Hilbert spaces. We introduce an algorithm based on the viscosity method for solving the split common fixed point problem for two infinite families of multivalued demicontractive mappings. We establish a strong convergence result under some suitable conditions. As applications, we also apply our main result to the split variational inequality problem and the split common null point problem. Finally, we give the numerical example for supporting our main theorem.
format Journal
author Pachara Jailoka
Suthep Suantai
author_facet Pachara Jailoka
Suthep Suantai
author_sort Pachara Jailoka
title The split common fixed point problem for multivalued demicontractive mappings and its applications
title_short The split common fixed point problem for multivalued demicontractive mappings and its applications
title_full The split common fixed point problem for multivalued demicontractive mappings and its applications
title_fullStr The split common fixed point problem for multivalued demicontractive mappings and its applications
title_full_unstemmed The split common fixed point problem for multivalued demicontractive mappings and its applications
title_sort split common fixed point problem for multivalued demicontractive mappings and its applications
publishDate 2019
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85064925196&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/65678
_version_ 1681426313661906944

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