带H-增生映象的广义变分包含问题

Generalized Variational Inclusions Involving H-accertive Mappings

讨论了在q-一致光滑空间中带H-增生映象的变分包含为题.引入和研究了一类含H-增生映象的广义集值变分包含,在Banach空间中适用与H-增生映象相联系的预解算子性质,构造了一类求变分包含逼近解的迭代算法,并讨论了由此算法产生的迭代序列的收敛性.

A new class of generalized variational inclusions involving H - accertive mappings are introduced and studied. By using the properties of the resolvent operator associated with a H - accertive mappings in Banach space, a new algorithm for approcimating the solution of this class of variational inclusions is given, the vonvergence of the sequence of iterates generated by the algorithm is also discussed.