伪单调广义混合变分不等式的改进k步预解算法

Modified k-Step Resolvent Algorithm for Solving Pseudomonotone General Mixed Variational Inequalities

在算子的分裂技巧基础上介绍了求解伪单调广义混合变分不等式的改进k步预解算法,算法的收敛性只要求算子的g-伪单调和g-Lipschitz连续性,算子的伪单调比单调更弱.本文的新算法推广了文献中某些已有的结果.

They introduced and studied a new class of modified k-step resolvent algorithm for solving pseudomonotone general mixed variational inequalities based on the splitting technology. The convergence of the algorithm requires only the pseudomonotonicity and g-Lipschitzcontinuity of mappings, which is weaker condition than the monotonicity. This method and convergence results generalize some results in literatures.