Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Fixed points of compact Kakutani maps with antipodal boundary conditions

Authors: Donal O'Regan and Juan Perán
Journal: Proc. Amer. Math. Soc. 134 (2006), 825-830
MSC (2000): Primary 47H10, 54H25
Published electronically: September 20, 2005
MathSciNet review: 2180900
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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.

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Additional Information

Donal O'Regan
Affiliation: Department of Mathematics, National University of Ireland, Galway, Ireland

Juan Perán
Affiliation: Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Apartado 60149, Madrid, 28080, Spain

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
Article copyright: © Copyright 2005 American Mathematical Society