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

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Abstract

In this paper, we introduce and study a new system of generalized mixed quasi-variational inclusions with (H,η)-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,η)-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.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, P. R. China

    Jian-Wen Peng

  2. School of Management, Fudan University, ShangHai, 200433, P. R. China

    Jian-Wen Peng & Dao-Li Zhu

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  1. Jian-Wen Peng
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  2. Dao-Li Zhu
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Correspondence to Jian-Wen Peng.

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Peng, JW., Zhu, DL. The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (H,η)-monotone operators. J Glob Optim 38, 387–403 (2007). https://doi.org/10.1007/s10898-006-9089-x

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  • DOI: https://doi.org/10.1007/s10898-006-9089-x

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