无穷维Banach空间上的逼近定理和弱内向映象的不动点定理

Approximation Theorems and FiXed Point of WeaklyInward Mappings in Infinite Dimensional Banach Space

中文关键词:  逼近定理  不动点定理  无穷维Banach空间。

中文摘要:

      本文在适当的边界条件下证明了ｋｙＦａｎ［１，Ｔｈ，２］逼近定理对严格集压缩映象和凝聚映象在无穷维Ｂａｎａｃｈ空间中的圆环上也成立，作为应用，得到了弱内向映象的非零不动点定理。

英文摘要:

      In this paper,we investigate the validity of an interesting theorem of Ky Fan 1,Theorem 2] defined on an annulue in infinite-dimensional Banaich space. We prove thatit is true for a condensing mapping under suitable conditions. As applications,some newfixed point are derived,and we also generalize some results of Sun[7,8].