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Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations |
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| Authors: | S Carl |
| Affiliation: | a Martin-Luther-Universität Halle-Wittenberg, Fachbereich Mathematik und Informatik, Institut für Analysis, 06099 Halle, Germany b Department of Mathematical Sciences, University of Oulu, Box 3000, FIN-90014 Oulu, Finland |
| 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. |
| Keywords: | Fixed point Minimal Maximal Increasing multivalued functions Ordered topological vector space Ordered Banach space Weak topology Discontinuous equation Quasilinear Functional Elliptic Boundary value problem |
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