Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces

Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach 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 u...

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Bibliographic Details
Main Authors: Lu-Chuan Ceng, Yung-Yih Lur, Ching-Feng Wen
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
system of variational inequalities
hierarchical variational inequality
nonexpansive mapping
fixed point
implicit and explicit iterative algorithms
global convergence
Online Access:http://link.springer.com/article/10.1186/s13660-017-1523-8

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http://link.springer.com/article/10.1186/s13660-017-1523-8

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