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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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2020
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| Subjects: | |
| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | © 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. |
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