TY - JOUR
T1 - Existence and approximation of solutions for system of generalized mixed variational inequalities
AU - Thakur, Balwant Singh
AU - Khan, Mohammad Saeed
AU - Kang, Shin Min
PY - 2013/4
Y1 - 2013/4
N2 - The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. Parallel algorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases.
AB - The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. Parallel algorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases.
KW - Fixed point problem
KW - Maximal monotone operator
KW - Parallel iterative algorithm
KW - Relaxed cocoercive mapping
KW - Resolvent operator technique
KW - System of generalized mixed variational inequality
UR - http://www.scopus.com/inward/record.url?scp=84902595676&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84902595676&partnerID=8YFLogxK
U2 - 10.1186/1687-1812-2013-108
DO - 10.1186/1687-1812-2013-108
M3 - Article
AN - SCOPUS:84902595676
SN - 1687-1820
VL - 2013
JO - Fixed Point Theory and Applications
JF - Fixed Point Theory and Applications
M1 - 108
ER -