用扰动逼近算法解广义混合拟-似变分包含

Perturbed proximal point algorithms for solving generalized mixed quasi-variational-like inclusions

引入和研究了一类广义混合拟-似变分包含问题,借助η-次微分和η-近似映象,提出了求该变分包含近似解的扰动η-逼近算法,并且该算法的强收敛性也被讨论和分析,所得结果改进和推广了在这个领域最近的一些结果.

This paper introduces and studies a class of generalized mixed quasi-variational-like inclusions. By using η- subdifferential and η- proximal mapping, a new perturbed proximal point algorithm for finding approximate solutions of generalized mixed quasi-ariational-like inclusions is suggested.The convergence criteria for the algorithm are also discussed and analyzed.These results develop and generalize many known results in this field.