A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems

Suthep SuantaiWatcharaporn CholamjiakChiang Mai UniversityMahidol University2018-09-242018-09-242010-07-16Discrete Dynamics in Nature and Society. Vol.2010, (2010)1607887X102602262-s2.0-77954475786https://repository.li.mahidol.ac.th/handle/20.500.14594/29328We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert space. Strong convergence theorems of the purposed iteration are established. Copyright © 2010 W. Cholamjiak and S. Suantai.Mahidol UniversityMathematicsA hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problemsArticleSCOPUS10.1155/2010/349158