NEW SYSTEMS OF GENERALIZED MIXED VARIATIONAL INEQUALITIES WITH NONLINEAR MAPPINGS IN HILBERT SPACES

作者：Kim Jong Kyu^*; Kim Kyung Soo

来源：Journal of Computational Analysis and Applications, 2010, 12(3): 601-612.

• New system of generalized mixed variational inequality problem
• relaxed (gamma, r)-cocoercive
• r-strongly monotone
• algorithm
• Hausdorff metric
• fixed point

In this paper, we introduce and study a new system of generalized mixed variational inequality problems with nonlinear mappings in Hilbert spaces. We prove the existence of the solutions and the convergence of iterative sequences generated by the algorithm for the system. The results presented in this paper are the generalization and improvement of recent results.

• 出版日期2010-7