A New System of Generalized Nonlinear Mixed Variational Inequalities in Hilbert Spaces

Jong Kyu Kim; Do Sang Kim

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

system of generalized nonlinear mixed variational inequalities
Mann iterative sequence with errors
nonlinear mapping
existence
uniqueness

Mathematics Subject Classification

49J40

Suggested citation

J. K. Kim, D. S. Kim. “A New System of Generalized Nonlinear Mixed Variational Inequalities in Hilbert Spaces.” Journal of Convex Analysis 11 (2004), No. 1, 235–243.