Viscosity iterative algorithm for variational inequality problems and fixed point problems of strict pseudo-contractions in uniformly smooth Banach spaces
Viscosity iterative algorithm for variational inequality problems and fixed point problems of strict pseudo-contractions in uniformly smooth Banach spaces
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DOI：
10.1007/s10114-015-4623-8
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发表时间：
2015-08
期刊：
影响因子：
--
通讯作者：
G. Cai
中科院分区：
文献类型：
--
作者：
G. Cai
本文的目的是研究一种基于广义收缩的新粘度迭代算法，用于寻找有限反强累加映射的一般变分不等式问题的解集的公共元素，以及均匀光滑巴拿赫空间中严格伪收缩的可数族的公共不动点集。我们在一些合适的条件下证明了一些强收敛定理。本文获得的结果改进并扩展了许多其他文献中最近宣布的结果。
The purpose of this paper is to study a new viscosity iterative algorithm based on a generalized contraction for finding a common element of the set of solutions of a general variational inequality problem for finite inversely strongly accretive mappings and the set of common fixed points for a countable family of strict pseudo-contractions in uniformly smooth Banach spaces. We prove some strong convergence theorems under some suitable conditions. The results obtained in this paper improve and extend the recent ones announced by many others in the literature.