西南民族大学学报（自然科学版）
西南民族大學學報（自然科學版）
서남민족대학학보（자연과학판）
JOURNAL OF SOUTHWEST NATIONALITIES COLLEGE·NATURAL SCIENCE EDITION
2005年
5期
657-659
,共3页
序%Banach空间%集值混合单调算子%耦合拟不动点
序%Banach空間%集值混閤單調算子%耦閤擬不動點
서%Banach공간%집치혼합단조산자%우합의불동점
order%Banach space%set-value mixed monotone operator%coupled quasi-fixed point
根据耦合拟不动点和上半连续算子的定义,讨论了在一定连续条件下集值混合单调算子的耦合拟不动点存在性问题,证明了,若A是非空弱闭值上半连续增算子,则A存在不动点以及若A是非空弱闭值上半连续混合单调算子,则A存在偶合拟不动点等结论.
根據耦閤擬不動點和上半連續算子的定義,討論瞭在一定連續條件下集值混閤單調算子的耦閤擬不動點存在性問題,證明瞭,若A是非空弱閉值上半連續增算子,則A存在不動點以及若A是非空弱閉值上半連續混閤單調算子,則A存在偶閤擬不動點等結論.
근거우합의불동점화상반련속산자적정의,토론료재일정련속조건하집치혼합단조산자적우합의불동점존재성문제,증명료,약A시비공약폐치상반련속증산자,칙A존재불동점이급약A시비공약폐치상반련속혼합단조산자,칙A존재우합의불동점등결론.
The paper, using coupled quasi-fixed point and upper demi-continuous operators definitions, discusses the existence problem of coupled quasi-fixed point for set-valued mixed monotone operators under certain continuous conditions.In this article, the authors prove that A is a nonempty weakly closed-valued upper demi-continuous increasing operator. Then A has a fixed point and A is a noempty weakly closed-valued upper demi-continuous mixed monotone operator. Then A has a coupled quasi-fixed point.
