Fixed points of compact Kakutani maps with antipodal boundary conditions
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- by Donal O’Regan and Juan Perán PDF
- Proc. Amer. Math. Soc. 134 (2006), 825-830 Request permission
Abstract:
We prove a fixed-point result for compact upper semicontinuous compact-convex-valued multifunctions satisfying antipodal boundary conditions on bounded symmetric subsets of a normed space. Two types or antipodal conditions are considered.References
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Additional Information
- Donal O’Regan
- Affiliation: Department of Mathematics, National University of Ireland, Galway, Ireland
- MR Author ID: 132880
- Juan Perán
- Affiliation: Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Apartado 60149, Madrid, 28080, Spain
- Email: jperan@ind.uned.es
- Received by editor(s): October 20, 2004
- Published electronically: September 20, 2005
- Additional Notes: This research was supported in part by Ministerio de Ciencia y Tecnología (Spain), project MTM2004-06652-C03-03.
- Communicated by: Jonathan M. Borwein
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 825-830
- MSC (2000): Primary 47H10, 54H25
- DOI: https://doi.org/10.1090/S0002-9939-05-08179-7
- MathSciNet review: 2180900