半紧1-集压缩映射的不动点定理及固有值(英文)

FIXED POINT THEOREMS AND EIGENVALUES FOR DEMICOMPACT 1—SET—CONTRACTIVE MAPS

利用WLS和WBP边界条件,我们在楔形F上得到了半紧1—集压缩映射的不动点定理,并在Hilbert空间上证明了,在一定条件下,此类映射的固有值充满一个区间。

In this paper, the fixed point theorems for demicompact 1-set-contractive maps are otainedin wedges by means of the WLS and WBP boundary conditions. Consequently, we prove in Hilbertspaces that the set of all eigenvalues for the maps is an interval.