Endpoints and fixed points of set-valued contractions in cone metric spaces (Q1021746)
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scientific article; zbMATH DE number 5563053
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Endpoints and fixed points of set-valued contractions in cone metric spaces |
scientific article; zbMATH DE number 5563053 |
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Endpoints and fixed points of set-valued contractions in cone metric spaces (English)
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9 June 2009
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\textit{L.--G.\thinspace Huang} and \textit{X.\,Zhang} [J.~Math.\ Anal.\ Appl.\ 332, No.\,2, 1468--1476 (2007; Zbl 1118.54022)] introduced the notion of cone metric space and established fixed point theorems for single-valued contractive maps in these spaces. In the paper under review, the author proves endpoint and fixed point theorems for set-valued contractive maps in cone metric spaces. Some examples are also given.
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fixed point
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set-valued contraction
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endpoint
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ordered Banach space
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cone metric space
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