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中文摘要：
在Banach空间中给出了一类新算子——凸幂1集压缩算子的定义,研究了这类新算子不动点的存在性问题,利用算子逼近的方法,获得了Rothe及A ltm an型凸幂1集压缩算子的不动点定理,推广了1集压缩算子的不动点定理。
英文摘要：
The definition of a class of new operators,convex-power 1-set-contraction operators in Banach spaces is given,and the existence of fixed points of this class of operators is studied.By using methods of approximation by operators,the fixed point theorems of Rothe and Altman type convex-power 1-set-contraction operators is obtained,which generalize fixed point theorems of 1-set-contraction operators.
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