On Approximative Compactness Jump To References Section Authors T. D. Narang 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.