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

Lai-Jiu Lin (), Zenn-Tsun Yu () and Chih-Sheng Chuang ()

Journal of Global Optimization, 2013, vol. 56, issue 1, 165-183

Abstract: 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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Asymptotically k-strict pseudo-contraction in the intermediate sense; Generalized equilibrium problem; Fixed point; Variational inequality problem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9968-2

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