A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems

Watcharaporn Cholamjiak, Suthep Suantai
2010 Discrete Dynamics in Nature and Society  
We 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.
doi:10.1155/2010/349158 fatcat:hjmvex5q45dkblcemol3wyeekm