Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations

被引：7

作者：

Carl, S

Heikkilä, S

机构：

[1] Univ Oulu, Dept Math Sci, FIN-90014 Oulu, Finland

[2] Univ Halle Wittenberg, Fachbereich Math & Informat, Inst Anal, D-06099 Halle Saale, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 297卷 / 01期

关键词：

fixed point; minimal; maximal; increasing multivalued functions; ordered topological vector space; ordered Banach space; weak topology; discontinuous equation; quasilinear; functional; elliptic; boundary value problem;

D O I：

10.1016/j.jmaa.2004.03.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study existence of minimal and maximal fixed points for increasing multivalued functions in ordered topological vector spaces, and apply the obtained results to operator equations and quasilinear elliptic boundary value problems involving discontinuous nonlinearities. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：56 / 69

页数：14

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