Fixed points of asymptotically regular semigroups in Banach spaces

被引:3
|
作者
Górnicki J. [1 ]
机构
[1] Department of Mathematics, Technical University of Rzeszów, 35-959 Rzeszów, W. Pola 2
关键词
47H10;
D O I
10.1007/BF02844475
中图分类号
学科分类号
摘要
In this paper we study in Banach spaces the existence of fixed points of (nonlinear) asymptotically regular semigroups. We establish for these semigroups some fixed point theorems in spaces with weak uniform normal structure, in a Hilbert space, in L p spaces, in Hardy spaces H p and in Sobolev spaces W r. p for 1 < p < ∞ and r ≥ 0, in spaces with Lifshitz's constant greater than one. These results are the generalizations of [8, 10, 16]. © 1997 Springer.
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页码:89 / 118
页数:29
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