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Kneser's theorem and the multivalued generalized order complementarity problem |
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| Authors: | G Isac M Kostreva |
| Institution: | 1 Departement de Mathématiques, Collège Militaire Royal de Saint-Jean, Quebec, Canada, JOJ 1RO 2 Department of Mathematical Sciences, Clemson University, Clemson, South Carolina 29634, USA |
| Abstract: | The Generalized Order Complementarity Problem studied by Isac and Kostreva is extended to multivalued mappings satisfying a condition proposed by Kneser. Existence of solutions to a related fixed point problem leads to existence theory for the new type of complementarity problem. Some important applications include problems in lubrication and in economics in which functions are set valued. |
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