Banach空间中有关多值增生映射的集值变分包含问题

On Set-Valued Variational Inclusions Involving Multi-valued Accretive Mappings in Banach Spaces

摘要: 在一致凸的对偶Banach空间中,建立了一类集值变分包含问题的存在性定理,讨论了在没有附加连续性的假设下,Mann型迭代序列强收敛于这个问题的解.

Abstract: An existence theorem for a class of set-valued variational inclusion problems is established in Banach spaces with uniformly convex dual. Furthermore,it is shown that a sequence of a Mann-type iteration algorithm is strongly convergent to the solutions in this problems. No continuousness assumption will be imposed on the multi-valued accretive mapping.