On Radial Continuity of Metric Projections
By: T. D. Narang and Tejpal Shavetambry
Open Access
|Jan 2013
Abstract
Some new continuity concepts called Outer Radially Lower(ORL), Outer Radially Upper (ORU) and Inner Radially Lower (IRL), for set-valued metric projections were introduced in Banach spaces by B. Brosowski and F. Deutsch [Bull. Amer. Math. Soc. 78(1972), 974-978] to characterize suns and Chebyshev sets. In this paper we extend these concepts together with the concept of Inner Radially Upper (IRU) continuity to convex metric spaces and prove some results including those of Brosowski and Deutsch in such spaces.
Language: English
Page range: 67 - 83
Published on: Jan 15, 2013
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
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© 2013 T. D. Narang, Tejpal Shavetambry, published by West University of Timisoara
This work is licensed under the Creative Commons License.