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Title: On solving split best proximity point and equilibrium problems in Hilbert spaces
Authors: Jukrapong Tiammee
Suthep Suantai
Authors: Jukrapong Tiammee
Suthep Suantai
Keywords: Mathematics
Issue Date: 1-Jan-2019
Abstract: © 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.
ISSN: 18434401
Appears in Collections:CMUL: Journal Articles

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