A noncompactness measure for tvs-metric cone spaces and some applications (Q2812335)
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scientific article; zbMATH DE number 6594285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A noncompactness measure for tvs-metric cone spaces and some applications |
scientific article; zbMATH DE number 6594285 |
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A noncompactness measure for tvs-metric cone spaces and some applications (English)
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16 June 2016
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approximate and fixed points
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measure of noncompactness
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uniform spaces
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set-valued mapping
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tvs-cone metric space
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In this paper, the author provides a topology for a cone metric spaces and a noncompactness measure is defined for these spaces. Also, some approximate fixed point and fixed point results are obtained for set-valued mappings. In the end, as an application of main results, an extension of \textit{G. Darbo}'s fixed point theorem [Rend. Semin. Mat. Univ. Padova 24, 84--92 (1955; Zbl 0064.35704)] is obtained.
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