The modified viscosity iteration with m-generalized hybrid mappings and (a, b)-Monotone mappings for equilibrium problems
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Author list: Sadeewong P., Saleewong T., Kumam P., Cho Y.J.
Publication year: 2018
Journal: Thai Journal of Mathematics (1686-0209)
Volume number: 16
Issue number: 1
Start page: 243
End page: 265
Number of pages: 23
ISSN: 1686-0209
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we show the existence of a common element of the set of solutions of an equilibrium problem, the set of fixed points of m-generalized hybrid and (a, b)-monotone mappings in Hilbert spaces by using a modified viscosity iteration. First, we prove some strong convergence theorems of our proposed algorithm to converge a common element of the set of solutions of an equilibrium problem, the sets of fixed points of m-generalized hybrid and (a, b)-monotone mappings. Finally, we give numerical examples to illustrate the our results. ฉ 2018 by the Mathematical Association of Thailand. All rights reserved.
Keywords
(a,b)-monotone mapping, M-generalized hybrid mapping, Modified viscosity iteration
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