NOTES ON GRAPH-CONVERGENCE FOR MAXIMAL MONOTONE OPERATORS

作者：Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Xu, Hong Kun^*

来源：Bulletin of the Australian Mathematical Society, 2011, 83(1): 22-29.

DOI：10.1017/S000497271000184X

• maximal monotone operator
• graph-convergence
• Mann iteration

We construct a sequence {A(n)} of maximal monotone operators with a common domain and converging, uniformly on bounded subsets, to another maximal monotone operator A; however, the sequence {t(n)(-1) A(n)} fails to graph-converge for some null sequence {t(n)}.

• 出版日期2011-2
• 单位中山大学