APPROXIMATION METHODS FOR TRIPLE HIERARCHICAL VARIATIONAL INEQUALITIES (II)

作者：Ceng, L. -C.; Ansari, Q. H.; Petrusel, A.; Yao, J. -C.^*

来源：Fixed Point Theory, 2015, 16(2): 237-259.

• Triple hierarchical variational inequalities
• hybrid steepest-descent viscosity approximation method
• monotone operators
• nonexpansive mappings
• fixed point
• strong convergence theorem

In this paper, we consider a triple hierarchical variational inequalities (in short, THVI) with a finite family of nonexpansive mappings. By combining the viscosity approximation method, hybrid steepest-descent method and Mann's iteration method, we propose the hybrid steepest-descent viscosity approximation method for solving the THVI. The strong convergence of this method to a unique solution of the THVI is studied. Under some mild conditions, a strong convergence result (to the unique solution of THVI) for another iterative algorithm is also presented.

• 出版日期2015
• 单位上海师范大学; 中国石油大学（北京）; 上海大学; 中国医科大学