The Journal of the Indian Mathematical Society

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On Approximative Compactness


Affiliations
1 Department of Mathematics, Guru Nanak Dev University, Amritsar -143005, India
     

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The paper deals with conditions under which an approximatively compact set G in a metric space (X, d) is Chebyshev. We also find invariant points of a self mapping on G which are also elements of best approximations in G.

Keywords

Best Approximation, Proximinal Set, Chebyshev Set, Metric Projection, Approximatively Compact Set, Approximatively Cauchy Set, Convex Set.
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  • On Approximative Compactness

Abstract Views: 215  |  PDF Views: 1

Authors

T. D. Narang
Department of Mathematics, Guru Nanak Dev University, Amritsar -143005, India

Abstract


The paper deals with conditions under which an approximatively compact set G in a metric space (X, d) is Chebyshev. We also find invariant points of a self mapping on G which are also elements of best approximations in G.

Keywords


Best Approximation, Proximinal Set, Chebyshev Set, Metric Projection, Approximatively Compact Set, Approximatively Cauchy Set, Convex Set.