%0 Journal Article
%T Hybrid Extragradient-Type Methods for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudo-Contraction Mappings
%A Pham Ngoc Anh
%A Tran Dinh Quoc
%A Dang Xuan Son
%J Applied Mathematics
%P 1357-1367
%@ 2152-7393
%D 2012
%I Scientific Research Publishing
%R 10.4236/am.2012.330192
%X This paper proposes a new hybrid variant of extragradient methods for finding a common solution of an equilibrium problem and a family of strict pseudo-contraction mappings. We present an algorithmic scheme that combine the idea of an extragradient method and a successive iteration method as a hybrid variant. Then, this algorithm is modified by projecting on a suitable convex set to get a better convergence property. The convergence of two these algorithms are investigated under certain assumptions.
%K Equilibrium Problems
%K Fixed Point
%K Pseudo-Monotone
%K Lipschitz-Type Continuity
%K Extragradient Method
%K Strict Pseudo-Contraction Mapping
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=24113