Open AccessExistence of Solutions and Algorithm for a System of Variational Inequalities
Author(s) -
Yali Zhao,
Zun-Quan Xia,
Li-Ping Pang,
Liwei Zhang
Publication year - 2010
Publication title -
fixed point theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.826
H-Index - 63
eISSN - 1687-1820
pISSN - 1687-1812
DOI - 10.1155/2010/182539
Subject(s) - variational inequality , mathematics , uniqueness , differential geometry , convergence (economics) , fixed point , uniqueness theorem for poisson's equation , fixed point theorem , projection (relational algebra) , iterative method , algorithm , discrete mathematics , pure mathematics , mathematical analysis , economics , economic growth
We obtain some existence results for a system of variational inequalities (for short, denoted by SVI) by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an iterative algorithm and analysis convergence of the algorithm.
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