Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
Wariam Chuayjan, Sornsak Thianwan Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space. Abstract and Applied Analysis. Vol.2009, (2009). doi:10.1155/2009/613524 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/27773
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Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space
We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space. Under suitable assumptions, we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space. The results obtained in this paper extend and improve the several recent results in this area.
