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.

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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. https://doi.org/10.68381/jca11015

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Published by Heldermann Verlag, 2004. Rights now held by Banach Press.