Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations
type: Item
instance of: scholarly article
title: Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations
zbMATH Open document ID: 1063.47052
author: S. Carl
author: S. Heikkilä
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-10-01T00:00:00Z
review text: The authors consider ordered topological vector spaces having certain convergence properties and give conditions which ensure that certain increasing multifunctions in those ordered topological vector spaces have a maximal fixed point and/or a minimal fixed point. They also consider certain lattice-ordered reflexive Banach spaces equipped with the weak topology and having certain convergence properties and apply their results to show that a certain operator equation and a certain quasilinear discontinuous boundary value problem have maximal and minimal solutions.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 2105428
zbMATH Keywords: fixed point
zbMATH Keywords: increasing multivalued functions
zbMATH Keywords: ordered topological vector space
zbMATH Keywords: ordered Banach space
zbMATH Keywords: weak topology
zbMATH Keywords: discontinuous equation
zbMATH Keywords: quasilinear functional
zbMATH Keywords: elliptic boundary value problem
zbMATH Keywords: maximal solutions
reviewed by: Thomas B. Muenzenberger
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.03.061
OpenAlex ID: W2002285568
cites work: Q4492741
cites work: Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP's
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cites work: Fixed points of increasing multivalued operators and an application to discontinuous elliptic equations
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: Q5516366
cites work: Q3706043
cites work: Q3995594
DOI: 10.1016/J.JMAA.2004.03.061
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description: scientific article; zbMATH DE number 2105428