Krasnoselskii's fixed point theorem for weakly continuous maps

被引：52
作者：
Barroso, CS [1 ]
机构：
[1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 1-2期
关键词：
fixed points; weakly continuous maps; Krasnoselskii; Dirichlet problem; eigenvalue problem; integral equations;
D O I：
10.1016/S0362-546X(03)00208-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the sum A + B: M --> X, where M is a weakly compact and convex subset of a Banach space X, A: M --> X is weakly continuous, and B is an element of L(X) with parallel toB(p)parallel to less than or equal to 1, p greater than or equal to 1. An alternative condition is given in order to guarantee the existence of fixed points in M for A + B. Some illustrative applications are given. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：25 / 31
页数：7
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