# American Institute of Mathematical Sciences

April  1999, 5(2): 339-357. doi: 10.3934/dcds.1999.5.339

## Hyperbolic sets for noninvertible maps and relations

 1 Department of Mathematical Sciences, George Mason University, MS 3F2, 4400 University Drive, Fairfax, VA 22030, United States

Received  September 1997 Revised  November 1998 Published  January 1999

This paper develops the theory of hyperbolic sets for relations, a generalization of both noninvertible and multivalued maps. We give proofs of shadowing and the stable manifold theorem in this context.
Citation: Evelyn Sander. Hyperbolic sets for noninvertible maps and relations. Discrete & Continuous Dynamical Systems, 1999, 5 (2) : 339-357. doi: 10.3934/dcds.1999.5.339
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