The Chebyshev selections and fixed point
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Jian-Zhong Xiao; Xing-Hua Zhu
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Article
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2011
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Elsevier Science
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English
⚖ 244 KB
The existence of a continuous Chebyshev selection for a Hausdorff continuous set-valued mapping is studied in a Banach space with some uniform convexity. As applications, some existence results of Chebyshev fixed point for condensing set-valued mappings are given, and the existence of Chebyshev solu