On Approximative Compactness

Jump To References Section

Authors

  • Department of Mathematics, Guru Nanak Dev University, Amritsar -143005 ,IN

Keywords:

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

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.