A perturbed algorithm for strongly nonlinear variational-like inclusions

A perturbed algorithm for strongly nonlinear variational-like inclusions
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DOI:
10.1017/s0004972700018931
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发表时间:
2000-12
影响因子:
0.7
通讯作者:
C.-H. Lee;Q. Ansari;J. Yao
C.-H. Lee;Q. Ansari;J. Yao
中科院分区:
数学4区
文献类型:
--
作者:
C.-H. Lee;Q. Ansari;J. Yao

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本文在比Yang和Craven在1991年所用的更一般的情形下定义了η-次微分的概念。利用η-次可微性,提出了一种求强非线性似变分包含近似解的扰动算法,并证明了这些近似解收敛于精确解.还讨论了几种特殊情况。
In this paper, we define the concept of η- subdifferential in a more general setting than the one used by Yang and Craven in 1991. By using η-subdifferentiability, we suggest a perturbed algorithm for finding the approximate solutions of strongly nonlinear variational-like inclusions and prove that these approximate solutions converge to the exact solution. Several special cases are also discussed.