Fixed points via a generalized local commutativity: the compact case (Q1811964)
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scientific article; zbMATH DE number 1930086
| Language | Label | Description | Also known as |
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| English | Fixed points via a generalized local commutativity: the compact case |
scientific article; zbMATH DE number 1930086 |
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Fixed points via a generalized local commutativity: the compact case (English)
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18 June 2003
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In continuation to his previous work [\textit{G. F. Jungck}, Int. J. Math. Math. Sci. 25, 497-507 (2001; Zbl 1005.47052)], the author obtains fixed point theorems for semigroups \(H\) of self-maps of a compact semimetric space \(X\) which are nearly commutative at continuous maps \(g\) from \(X\) to itself. Illustrative examples are given and some special cases are nicely discussed.
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fixed point theorems
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semimetric space
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semigroups
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nearly commutative
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