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The extension of continuity and generalized results for set-valued maps in convex analysis

โœ Scribed by Wei-Shih Du


Book ID
108216278
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
529 KB
Volume
71
Category
Article
ISSN
0362-546X

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The Chebyshev selections and fixed point
โœ Jian-Zhong Xiao; Xing-Hua Zhu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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