Weak and strong convergence theorems for asymptotically pseudo-contraction mappings in the intermediate sense in Hilbert spaces

作者：Lin, Lai-Jiu^*; Yu, Zenn-Tsun; Chuang, Chih-Sheng

来源：Journal of Global Optimization, 2013, 56(1): 165-183.

DOI：10.1007/s10898-012-9968-2

• Asymptotically k-strict pseudo-contraction in the intermediate sense
• Generalized equilibrium problem
• Fixed point
• Variational inequality problem

In this paper, we prove both weak and strong convergence theorems for finding a common element of the solution set for a generalized equilibrium problem, the fixed point set of an asymptotically k-strict pseudo-contraction mapping in the intermediate sense, and the solution set of the variational inequality for a monotone and Lipschitz-continuous mapping by using a new hybrid extragradient method. Our results generalize and improve related results in the literatures.

• 出版日期2013-5
• 单位南开大学