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.
On solving split best proximity point and equilibrium problems in Hilbert spaces
Tiammee, Jukrapong and Suantai, Suthep
Abstract
carpathian_2019_35_3_385_392_abstractFull PDF
carpathian_2019_35_3_385_392Additional Information
| Author(s) | Tiammee, Jukrapong, Suantai, Suthep |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2019.03.13 |
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