The shrinking projection method for solving split best proximity point and equilibrium problems
Filomat, Tome 35 (2021) no. 4, p. 1133

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In this paper, we propose a new explicit iteration method using shrinking projection for solving the split best proximity point and equilibrium problems. We prove its strong convergence under some suitable conditions in Hilbert spaces. A numerical example are given to illustrate the effectiveness of the proposed algorithm
DOI : 10.2298/FIL2104133S
Classification : 47J25, 41A29, 47H09
Keywords: Shrinking projection method, iterative algorithms, convergence, best proximity point, equilibrium problems
Suthep Suantai; Jukrapong Tiammee. The shrinking projection method for solving split best proximity point and equilibrium problems. Filomat, Tome 35 (2021) no. 4, p. 1133 . doi: 10.2298/FIL2104133S
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     author = {Suthep Suantai and Jukrapong Tiammee},
     title = {The shrinking projection method for solving split best proximity point and equilibrium problems},
     journal = {Filomat},
     pages = {1133 },
     year = {2021},
     volume = {35},
     number = {4},
     doi = {10.2298/FIL2104133S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104133S/}
}
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