Transfinite methods in metric fixed-point theory
2003 ◽
Vol 2003
(5)
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pp. 311-324
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Keyword(s):
This is a brief survey of the use of transfinite induction in metric fixed-point theory. Among the results discussed in some detail is the author's 1989 result on directionally nonexpansive mappings (which is somewhat sharpened), a result of Kulesza and Lim giving conditions when countable compactness implies compactness, a recent inwardness result for contractions due to Lim, and a recent extension of Caristi's theorem due to Saliga and the author. In each instance, transfinite methods seem necessary.
Keyword(s):
2012 ◽
Vol 6
(2)
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pp. 265-286
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Keyword(s):
Keyword(s):
2017 ◽
Vol 112
(2)
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pp. 437-448
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2006 ◽
pp. 484-505
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