Existence and approximation of solutions for system of generalized mixed variational inequalities

被引：0
作者：
Balwant Singh Thakur
Mohammad Saeed Khan
Shin Min Kang
机构：
[1] Pt. Ravishankar Shukla University,School of Studies in Mathematics
[2] Sultan Qaboos University,Department of Mathematics and Statistics
[3] Gyeongsang National University,Department of Mathematics and RINS
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
system of generalized mixed variational inequality; fixed point problem; resolvent operator technique; relaxed cocoercive mapping; maximal monotone operator; parallel iterative algorithm;
D O I：
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摘要：
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.
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