| Title: |
Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces. |
| Authors: |
Ceng, Lu-Chuan1 zenglc@hotmail.com, Lur, Yung-Yih2 yylur@vnu.edu.tw, Wen, Ching-Feng cfwen@kmu.edu.tw |
| Source: |
Journal of Inequalities & Applications. 10/4/2017, Vol. 2017 Issue 1, p1-25. 25p. |
| Subject Terms: |
*ALGORITHMIC randomness, *FOUNDATIONS of arithmetic, *CONVEX functions, *CONVEX geometry, *VECTOR spaces |
| Abstract: |
The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach space. We introduce implicit and explicit iterative algorithms which converge strongly to a unique solution of the hierarchical variational inequality problem. Our results improve and extend the corresponding results announced by some authors. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Complete |
