Hybrid Extragradient-Type Methods for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudo-Contraction Mappings

• 作者: Dang Xuan Son Pham Ngoc Anh Tran Dinh Quoc
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Equilibrium Problems Fixed Point Pseudo-Monotone Lipschitz-Type CONTINUITY Extragradient Method STRICT Pseudo-Contraction Mapping
• 年，卷（期）: 2012,（10）
• 页码范围: 1357-1367
• 页数: 11页
• 分类号: O1

摘要

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.