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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fixed points and stationary points of dissipative multivalued maps


Authors: Jean-Pierre Aubin and Jerrold Siegel
Journal: Proc. Amer. Math. Soc. 78 (1980), 391-398
MSC: Primary 54H25; Secondary 54C60, 90D30
MathSciNet review: 553382
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Abstract: Fixed or stationary points of multivalued maps are seen to exist in the presence of various entropy functions for the map. Generalizations of the Banach-Picard and Caristi fixed point theorems are presented.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0553382-1
PII: S 0002-9939(1980)0553382-1
Keywords: Multivalued maps, contraction theorem, entropy, complete metric space
Article copyright: © Copyright 1980 American Mathematical Society