On fixed points in non-Archimedean Menger PM-spaces (Q2906874)
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scientific article; zbMATH DE number 6077860
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fixed points in non-Archimedean Menger PM-spaces |
scientific article; zbMATH DE number 6077860 |
Statements
5 September 2012
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fixed point
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\(R\)-weakly commuting maps
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non-Archimedean Menger probalistic metric space
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On fixed points in non-Archimedean Menger PM-spaces (English)
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The main result is a common fixed point theorem in a complete non-Archimedean PM-space for a new type of weakly commuting maps satisfying a contraction type condition. Indeed, the result is an extension of a well known common fixed point theorem for a pair of commuting maps in a metric space due to \textit{G. Jungck} [Am. Math. Mon. 83, 261--263 (1976; Zbl 0321.54025)].
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