In this paper, we establish the equivalence between the generalized nonlinear mixed variational inequalities and the generalized resolvent equations. This equivalence is used to suggest and analyze a number of iterative algorithms for solving generalized variational inequalities. We also discuss the convergence analysis of the proposed algorithms. As special cases, we obtain various known results from our results.
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Noor, M.A., Al-Said, E.A. Algorithms for nonlinear mixed variational inequalities. Korean J. Comput. & Appl. Math. 5, 271–286 (1998). https://doi.org/10.1007/BF03008913
AMS Mathematics Subject Classification
Key word and phrases
- Variational inequalities
- resolvent equations
- iterative algorithms
- fixed points