Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

作者：Ceng, Lu-Chuan; Al-Homidan, Suliman^*; Ansari, Qamrul Hasan

来源：Fixed Point Theory and Applications, 2013, 284.

DOI：10.1186/1687-1812-2013-284

In this paper, we consider a variational inequality problem which is defined over the set of intersections of the set of fixed points of a zeta-strictly pseudocontractive mapping, the set of fixed points of a nonexpansive mapping and the set of solutions of a minimization problem. We propose an iterative algorithm with regularization to solve such a variational inequality problem and study the strong convergence of the sequence generated by the proposed algorithm. The results of this paper improve and extend several known results in the literature.

• 出版日期2013-11-8
• 单位中国石油大学（北京）; 上海大学; 上海师范大学