On weak compactness and countable weak compactness in fixed point theory
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- by John Kulesza and Teck-Cheong Lim PDF
- Proc. Amer. Math. Soc. 124 (1996), 3345-3349 Request permission
Abstract:
We prove that weak compactness and countable weak compactness in metric spaces are not equivalent. However, if the metric space has normal structure, they are equivalent. It follows that some fixed point theorems proved recently are consequences of a classical theorem of Kirk.References
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Additional Information
- John Kulesza
- Affiliation: Department of Mathematics, George Mason University, 4400 University Drive, Fairfax, Virginia 22030
- Email: jkulesza@gmu.edu
- Teck-Cheong Lim
- Affiliation: Department of Mathematics, George Mason University, 4400 University Drive, Fairfax, Virginia 22030
- Email: tlim@gmu.edu
- Received by editor(s): January 3, 1995
- Received by editor(s) in revised form: March 27, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3345-3349
- MSC (1991): Primary 47H10, 47H09; Secondary 54E50, 54D30
- DOI: https://doi.org/10.1090/S0002-9939-96-03390-4
- MathSciNet review: 1328357