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On contractive
semigroups of mappings
Raymond D. Holmes |
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Vol. 37 (1971), No. 3, 701–709
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Abstract |
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The definitions of certain contraction conditions used by a number of authors (D. F. Bailey, V. M. Sehgal, M. Edelstein, and the author) on single mappings and their iterates are extended to commutative semigroups of mappings. A number of results are derived concerning fixed and periodic points which generalize those of the single mapping case. |
Mathematical Subject Classification 2000
Primary: 54H25
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Milestones
Received: 25 November 1970
Published: 1 June 1971
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Authors |
| Raymond D. Holmes | |
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