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Hybrid Extragradient Scheme for Split Variational Inclusion in Hilbert Spaces

jitsupa deepho

Abstract


In this paper, we propose a hybrid extragradient method to approximatea common solution set of split variational inclusion problem, a generalsystem of variational inequalities and fixed point set of a k-strictly pseudocontractivemapping in real Hilbert space. Our hybrid method is based on the well-knownextragradient method, viscosity approximation method, and Mann-type iterationmethod. Strong convergence theorem is established under some suitable conditionsin a real Hilbert space. Results presented in this paper may be viewed as a refinementand important generalizations of the previously known results announced bymany other authors.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|