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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
Posted:
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.
References
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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
Email:
jperan@ind.uned.es
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08179-7
PII:
S 0002-9939(05)08179-7
Received by editor(s):
October 20, 2004
Posted:
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
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