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

  • Carl S
  • Heikkilä S
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Abstract

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. © 2004 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Boundary value problem
  • Discontinuous equation
  • Elliptic
  • Fixed point
  • Functional
  • Increasing multivalued functions
  • Maximal
  • Minimal
  • Ordered Banach space
  • Ordered topological vector space
  • Quasilinear
  • Weak topology

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