Corrigendum to “Integral Equations, Implicit Functions, and Fixed Points”
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- by T. A. Burton PDF
- Proc. Amer. Math. Soc. 141 (2013), 4425-4426 Request permission
Abstract:
In the paper of this title in Proc. Amer. Math. Soc. 124 (1996), no. 8, 2383–2390, we defined a large contraction, proved a fixed point theorem based on it, and then used it to extend Krasnoselskii’s fixed point theorem. In that last-mentioned theorem we neglected to add the assumption that the mapping set be closed. In this correction we state the relevant theorems, add the assumption, and explain why it is necessary.References
- T. A. Burton, Integral equations, implicit functions, and fixed points, Proc. Amer. Math. Soc. 124 (1996), no. 8, 2383–2390. MR 1346965, DOI 10.1090/S0002-9939-96-03533-2
- Sehie Park, Generalizations of the Krasnoselskii fixed point theorem, Nonlinear Anal. 67 (2007), no. 12, 3401–3410. MR 2350896, DOI 10.1016/j.na.2006.10.024
Additional Information
- T. A. Burton
- Affiliation: Northwest Research Institute, 732 Caroline Street, Port Angeles, Washington 98362
- Email: taburton@olypen.com
- Received by editor(s): February 3, 2012
- Published electronically: August 9, 2013
- Communicated by: James E. Colliander
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 4425-4426
- MSC (2010): Primary 45D05, 26B10, 47H10
- DOI: https://doi.org/10.1090/S0002-9939-2013-11733-8
- MathSciNet review: 3105884