On the Chebyshev Center and the Nonemptiness of the Intersection of Nested Sets |
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Authors: | Chelidze G Z Danelia A N Suladze M Z |
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Institution: | 1.Kutaisi International University, Kutaisi, 4600, Georgia ;2.Muskhelishvili Institute of Computational Mathematics of Georgian Technical University, Tbilisi, 0159, Georgia ;3.Ivane Javakhishvili Tbilisi State University, Tbilisi, 0179, Georgia ; |
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Abstract: | Mathematical Notes - We show that if every bounded set in a Banach space has a Chebyshev center, then the intersection of nested closed bounded sets in this space is nonempty in the case of a... |
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