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

共 50 条

[1] Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations
Zhang, Xinqiu
Liu, Lishan
Zou, Yumei
JOURNAL OF FUNCTION SPACES, 2018, 2018
[2] Fixed point theorems for a system of operator equations with applications
Urs, Cristina
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2016, 61 (01): : 87 - 94
[3] Fixed Point Theorems on Nonlinear Binary Operator Equations with Applications
Qiao, Baomin
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
[4] Fixed point theorems of discontinuous increasing operators and applications to nonlinear integro-differential equations
Zhang, JQ
NAGOYA MATHEMATICAL JOURNAL, 2000, 158 : 73 - 86
[5] Fixed point theorems of increasing operators and applications to nonlinear integro-differential equations with discontinuous terms
Zhang, JQ
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (05): : 773 - 784
[6] Fixed point theorems for discontinuous functions and applications
Cromme, LJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (03) : 1527 - 1534
[7] FIXED-POINT THEOREMS FOR MULTIFUNCTIONS
MASSA, S
ROUX, D
SINGH, SP
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1987, 18 (06): : 512 - 514
[8] FIXED POINT THEOREMS FOR CONDENSING MULTIFUNCTIONS
HIMMELBE.CJ
PORTER, JR
VANVLECK, VS
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (03): : 583 - &
[9] FIXED POINT THEOREMS FOR CONDENSING MULTIFUNCTIONS
HIMMELBERG, CJ
PORTER, JR
VANVLECK, FS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 23 (03) : 635 - +
[10] FIXED POINT THEOREMS IN THE STUDY OF OPERATOR EQUATIONS IN ORDERED BANACH SPACES AND THEIR APPLICATIONS
Mechrouk, Salima
FIXED POINT THEORY, 2021, 22 (02): : 761 - 777

← 1 2 3 4 5 →