1) set-valued 1-set-contractive mapping
集值1-集压缩映射
1.
Using topological degree for upper semicontinuous set-valued 1-set-contractive mapping and the fixed point theorems for upper semicontinuous set-valued 1-set-contractive mapping,the boundary conditions of existing positive fixed points is studied for upper semicontinuous set-valued 1-set-contractive mapping.
利用上半连续集值1-集压缩映射的拓扑度以及上半连续集值1-集压缩映射的不动点定理,研究它在锥中的情形,即研究上半连续集值1-集压缩映射正不动点存在的边界条件。
2.
According to the extensive theory of topological degree for set-valued mapping ,the authors derive the topological degree for upper semicontinuous set-valued 1-set-contractive mapping.
由集值映射的拓扑度延拓理论,推导出了上半连续集值1-集压缩映射的拓扑度。
2) 1-set-contractive map
1-集-压缩映射
3) the nested theorem of closed setes
集值压缩映射
4) set-valuedφ-contraction
集值φ-压缩映射
6) semi-compact 1-set contraction mapping
半紧1-集压缩映射
1.
Some fixed point theorems and properties of fixed points set{x(λ)} for monotone semicondensing mapping and semi-compact 1-set contraction mapping are proved The results extend some results that have been obtained by Yu Qingyu.
给出了半凝聚映射的概念,讨论了单调半凝聚映射与半紧1-集压缩映射不动点存在的条件及不动点集{x(λ)}的性质。
补充资料:古城集战斗
新四军在淮南古城集反击国民党顽固派军队进攻的自卫战斗。1940年6月,国民党第21集团军第138师和第10游击纵队等部,乘日伪军“扫荡”之机,向新四军第4、第5支队驻地安徽省定远县古城集、青龙厂地区发动进攻。新四军江北指挥部呼吁国民党军团结抗战无效后,于6月17日集中第4、第5支队进行自卫反击。经3日激战,歼国民党第10游击纵队1000余人。
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