由拟凸泛函构造的非凸收缩核

Banach空间中的非空闭凸子集是收缩核.通过一致连续的非负拟凸泛函构造了Banach空间中的两个非凸收缩核，其中一个是锥中的子集，另一个不需要限制在锥中，但是需要空间是无穷维的以及泛函是偶的条件.推广了已有文献中由一致连续非负凸泛函构造非凸收缩核的结果，并且在连续函数空间中给出了具体的例子.

Nonconvex Retracts Constructed by Quasiconvex Functionals

The nonempty， closed convex subset in Banach space is a retract. Two nonconvex retracts are constructed in Banach spaces by the uniformly continuous non negative quasiconvex functional. One of the retracts is a subset of cone， and the other does not need to be restricted in a cone， but needs the infinite dimensional space and the even functional. The earlier results are extended where nonconvex retracts are constructed by the uniformly continuous non negative convex functionals and an example is given in the space of continuous functions.