一组广义隐拟似变分包含问题的η-逼近点算法
η-Proximal Point Algorithm for a System of Generalized Implicit Quasi-Variational-Like Inclusion Problems
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摘要: 在实Hilbert空间中讨论了一组新的关于η-次可微算子和η-逼近算子的广义隐拟似变分包含的问题.提出了一个逼近其解的新的η-逼近点算法,还讨论了由算法得到的序列的逼近特征.Abstract: In this paper, we consider a new system of generalized implicit quasi-variational-like inclusion problems (GIQVLIP) involving η-subdifferentiable mapping and η-proximal mapping in real Hilbert spaces. By applying some lemmas, we develop a new η-proximal point algorithm of Mann and Ishikawa type for finding the approximate solutions of the generalized implicit quasi-variational-like inclusion problems. The convergence criteria of the sequences of the approximate solutions generated by the new algorithm are also discussed.
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