The Journal of the Indian Mathematical Society

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Strong Approximative Compactness and Strong Proximinality in Metric Linear Spaces


Affiliations
1 Department of Mathematics, Guru Nanak Dev University, Amritsar-143 005, India
     

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In this paper we discuss approximatively compact sets, strongly approximatively compact sets and strongly proximinal sets in metric linear spaces and prove some results on best approximation and continuity of the metric projection.

Keywords

Best Approximation, Proximinal Set, Strongly Proximinal Set, Chebyshev Set, Approximatively Compact Set, Strongly Approximatively Compact Set.
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  • Strong Approximative Compactness and Strong Proximinality in Metric Linear Spaces

Abstract Views: 297  |  PDF Views: 0

Authors

T. D. Narang
Department of Mathematics, Guru Nanak Dev University, Amritsar-143 005, India
Sahil Gupta
Department of Mathematics, Guru Nanak Dev University, Amritsar-143 005, India

Abstract


In this paper we discuss approximatively compact sets, strongly approximatively compact sets and strongly proximinal sets in metric linear spaces and prove some results on best approximation and continuity of the metric projection.

Keywords


Best Approximation, Proximinal Set, Strongly Proximinal Set, Chebyshev Set, Approximatively Compact Set, Strongly Approximatively Compact Set.