Lower Semicontinuity Concepts, Continuous Selections, and Set Valued Metric Projections

Abstract

A number of semicontinuity concepts and the relations between them are discussed. Characterizations are given for when the (set-valued) metric projection P M onto a proximinal subspace M of a normed linear space X is approximate lower semicontinuous or 2-lower semicontinuous. A geometric characterization is given of those normed linear spaces X such that… (More)
DOI: 10.1006/jath.2001.3654

Topics

  • Presentations referencing similar topics