General iterative scheme based on the regularization for solving a constrained convex minimization problem

被引:0
作者
Ming Tian
机构
[1] Civil Aviation University of China,College of Science
来源
Journal of Inequalities and Applications | / 2013卷
关键词
averaged mapping; gradient-projection algorithm; constrained convex minimization; regularization; split feasibility problem; variational inequality;
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中图分类号
学科分类号
摘要
It is well known that the regularization method plays an important role in solving a constrained convex minimization problem. In this article, we introduce implicit and explicit iterative schemes based on the regularization for solving a constrained convex minimization problem. We establish results on the strong convergence of the sequences generated by the proposed schemes to a solution of the minimization problem. Such a point is also a solution of a variational inequality. We also apply the algorithm to solve a split feasibility problem.
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