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Journal of Convex Analysis 11 (2004), No. 1, 235--243
Copyright Heldermann Verlag 2004
A New System of Generalized Nonlinear Mixed Variational Inequalities in Hilbert Spaces
Jong Kyu Kim
Dept. of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Korea,
jongkyuk@kyungnam.ac.kr
Do Sang Kim
Dept. of Applied Mathematics, Pukyoug National University, Pasan 608-737, Korea,
dskim@dolphin.pknu.ac.kr
We introduce and study a new system of generalized nonlinear mixed variational
inequalities in Hilbert spaces. We prove the existence and uniqueness of solutions
for this system of generalized nonlinear mixed variational inequalities. We also
give the convergence of the Mann iterative sequences with errors for this system
of generalized nonlinear mixed variational inequalities in Hilbert spaces.
Keywords: system of generalized nonlinear mixed variational inequalities, Mann
iterative sequence with errors, nonlinear mapping, existence, uniqueness.
MSC 2000: 49J40.
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