Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach space

Wariam ChuayjanSornsak ThianwanMahidol UniversityUniversity of Phayao2018-09-132018-09-132009-11-18Abstract and Applied Analysis. Vol.2009, (2009)16870409108533752-s2.0-70449436170https://repository.li.mahidol.ac.th/handle/20.500.14594/27773We 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.Mahidol UniversityMathematicsStrong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a banach spaceArticleSCOPUS10.1155/2009/613524