The resolvent operator techniques with perturbations for finding zeros of maximal monotone operator and fixed point problems in Hilbert spaces
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Author list: Sunthrayuth P., Kumam P.
Publication year: 2016
Journal: Thai Journal of Mathematics (1686-0209)
Volume number: 14
Issue number: SpecialIssueACFPTO2016
Start page: 1
End page: 21
Number of pages: 21
ISSN: 1686-0209
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce iterative schemes with perturbations for finding zeros of the sum of two monotone operators and a fixed point problem of a nonexpansive mapping in Hilbert spaces. We prove a strong convergence theorem of the proposed iterative schemes under some certain conditions. Furthermore, we also apply our results to solving the variational inequality and equilibrium problems. The results obtained in this paper are improve and generalize many known recent results in this field. ฉ 2016 by the Mathematical Association of Thailand. All rights reserved.
Keywords
Iterative method, Maximal monotone
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