On solving split best proximity point and equilibrium problems in Hilbert spaces
© 2019, SINUS Association. All rights reserved. In this paper, we introduce a split best proximity point and equilibrium problem, and find a solution of the best proximity point problem such that its image under a given bounded linear operator is a solution of the equilibrium problem. We construct a...
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th-cmuir.6653943832-679202020-04-02T15:11:28Z On solving split best proximity point and equilibrium problems in Hilbert spaces Jukrapong Tiammee Suthep Suantai Mathematics © 2019, SINUS Association. All rights reserved. In this paper, we introduce a split best proximity point and equilibrium problem, and find a solution of the best proximity point problem such that its image under a given bounded linear operator is a solution of the equilibrium problem. We construct an iterative algorithm to solve such problem in real Hilbert spaces and obtain a weak convergence theorem. Finally, we also give an example to illustrate our result. 2020-04-02T15:11:28Z 2020-04-02T15:11:28Z 2019-01-01 Journal 18434401 15842851 2-s2.0-85075496806 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075496806&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67920 |
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Chiang Mai University |
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Chiang Mai University Library |
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Thailand |
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CMU Intellectual Repository |
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Mathematics |
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Mathematics Jukrapong Tiammee Suthep Suantai On solving split best proximity point and equilibrium problems in Hilbert spaces |
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© 2019, SINUS Association. All rights reserved. In this paper, we introduce a split best proximity point and equilibrium problem, and find a solution of the best proximity point problem such that its image under a given bounded linear operator is a solution of the equilibrium problem. We construct an iterative algorithm to solve such problem in real Hilbert spaces and obtain a weak convergence theorem. Finally, we also give an example to illustrate our result. |
| format |
Journal |
| author |
Jukrapong Tiammee Suthep Suantai |
| author_facet |
Jukrapong Tiammee Suthep Suantai |
| author_sort |
Jukrapong Tiammee |
| title |
On solving split best proximity point and equilibrium problems in Hilbert spaces |
| title_short |
On solving split best proximity point and equilibrium problems in Hilbert spaces |
| title_full |
On solving split best proximity point and equilibrium problems in Hilbert spaces |
| title_fullStr |
On solving split best proximity point and equilibrium problems in Hilbert spaces |
| title_full_unstemmed |
On solving split best proximity point and equilibrium problems in Hilbert spaces |
| title_sort |
on solving split best proximity point and equilibrium problems in hilbert spaces |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075496806&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67920 |
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