讨论一类含极大η-单调算子的广义非线性混合似变分包含组的迭代算法.依据不动点理论和极大η-单调算子的预解算子技巧,提出了一种求这类变分不等式组的逼近解的新的扰动迭代算法,证明了这类算法的收敛性和稳定性,并推广和统一了近期文献中的一些相关结论.
In this paper, we have studied the algorithm and stability for a system of generalized nonlinear mixed iational-like inclusions involving maximal η-monotone mappings. By using resolvent operator techniques for maximal η-maximal monotone mapping and fixed point theorems, we have constructed a new perturbed iterative algo- rithm for apprximating the solution of this system and discussed the convergence and stability of the sequences of iterates generated by the algorithm. The results are new, and unify and generalize the corresponding results in recent literatures.