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The Chebyshev selections and fixed points of set-valued mappings in Banach spaces with some uniform convexity

✍ Scribed by Jian-Zhong Xiao; Xing-Hua Zhu

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 244 KB
Volume: 54
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.04.029

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✦ Synopsis

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 solutions for an integral inclusion is proved.

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