A fixed point theorem for non-expansive, condensing mappings
1980 ◽
Vol 29
(4)
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pp. 393-398
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AbstractA lemma is obtained which guarantees that non-expansive mappings on contractive spaces have fixed points. An example shows that Schauders's fixed point theorem cannot be extended to contractive spaces, but a theorem for contractive spaces, analogous to a result of B. N. Sadovskii on convex spaces, is derived from the lemma. Finally, some local results for ε-chainable contractive spaces are given.
1999 ◽
Vol 59
(2)
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pp. 297-304
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1988 ◽
Vol 11
(2)
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pp. 285-288
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1994 ◽
Vol 17
(1)
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pp. 37-40
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2001 ◽
Vol 27
(11)
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pp. 701-706
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2016 ◽
Vol 09
(03)
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pp. 1650060
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