学术
摘 要:
本文提出并研究了Banach空间中的一类新的广义集值变分包含问题：0∈N（ω，y）＋A（z，v），由集值m-增生映射的预解算子建立了广义集值变分包含与不动点问题的等价性，并利用Nadler定理和辅助序列建立了一些迭代算法，证明了解的存在性和算法的全局收敛性．[著者文摘]
文章出处:
《应用数学》-2007年20卷3期 -598-603页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）03-0598-06
Auxiliary Sequential Algorithms for a New Class of Generalized Set-Valued Variational Inclusions
ZHOU Guang-hui （Department of Mathematics, Huaibei Coal Industry Teachers College, Huaibei 235000, China）
Abstract:
We introduce and study a new class of generalized set-valued variational inclusions in Banach spaces;θ∈ N（ω,y） ＋A（z,v） . Using the set-valued resolvent technique,we establish the equivalence between the generalized set-valued variational inclusions and the fixed point problem,and we also construct some auxiliary sequential algorithms for their solutions by using this equivalence, the existence of solutions and global covergence of sequences generated by these algorithms are proved in this paper.[著者文摘]
Key words:
Generalized set-valued variational inclusions; maccretive mapping;Resolventoperator; Auxiliary sequence
基金资助:
安徽省高校自然科学研究项目（2006KJ051C）,安徽省高校青年教师科研资助计划（2005JQll32）
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