Characterizations and Uniqueness of Mutually Nearest Points for Two Sets in Normed Spaces |
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| Authors: | Xianfa Luo |
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| Institution: | 1. Department of Mathematics , China Jiliang University , Hangzhou , P. R. China luoxianfaseu@163.com |
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| Abstract: | The present article deals with the problem of mutually nearest points of two nonempty sets S and W in a real normed linear space. A characterization result of Kolmogorov-type of mutually nearest points for S and W is established in view of a solar pair of S × W, and the relationship between a solar pair of S × W and solar points of S and W is obtained. Also, uniqueness results of the pair of mutually nearest points for S and W are given. |
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| Keywords: | Characterization Mutually nearest point Solar pair Solar point |
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