The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (H,η)-monotone operators

Authors:
Jian-Wen Peng;Dao-Li Zhu
Affiliations:
College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, P. R. China 400047 and School of Management, Fudan University, ShangHai, P. R. China 200433;School of Management, Fudan University, ShangHai, P. R. China 200433
Venue:
Journal of Global Optimization
Year:
2007

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Abstract

In this paper, we introduce and study a new system of generalized mixed quasi-variational inclusions with (H,驴)-monotone operators which contains variational inequalities, variational inclusions, systems of variational inequalities and systems of variational inclusions in the literature as special cases. By using the resolvent technique for the (H,驴)-monotone operators, we prove the existence of solutions and the convergence of some new p-step iterative algorithms for this system of generalized mixed quasi-variational inclusions and its special cases. The results in this paper unifies, extends and improves some known results in the literature.