Convex sets in proximal relator spaces
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This article introduces convex sets in finite-dimensional normed linear spaces equipped with a proximal relator. A proximal relator is a nonvoid family of proximity relations R? (called a proximal relator) on a nonempty set. A normed linear space endowed with R? is an extension of the Sz?z relator space. This leads to a basis for the study of the nearness of convex sets in proximal linear spaces.
1964 ◽
Vol 60
(4)
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pp. 817-819
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2018 ◽
Vol 15
(01)
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pp. 65-83
1980 ◽
Vol 23
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pp. 347-354
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1971 ◽
Vol 12
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pp. 301-308
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1974 ◽
Vol 11
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pp. 443-454
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1972 ◽
Vol 14
(1)
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pp. 9-16
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