Iterative Algorithm for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

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• 作者：L. C. Zeng ; S. Schaible ; J. C. Yao
• 关键词：Mixed variational-like inequalities - auxiliary principle technique - iterative algorithms - existence theorems - set-valued mappings
• 刊名：Journal of Optimization Theory and Applications
• 出版年：2005
• 出版时间：March 2005
• 年：2005
• 卷：124
• 期：3
• 页码：725-738
• 全文大小：112 KB

文摘

The auxiliary principle technique is extended to study the generalized strongly nonlinear mixed variational-like inequality problem for set-valued mappings without compact values. We establish first the existence of a solution of the related auxiliary problem. Then, the iterative algorithm for solving that problem is given by using this existence result. Moreover, the existence of a solution of the original problem and the convergence of iterative sequences generated by the algorithm are both derived.