Abstract
We develop a theory of simultaneous metric projection in a normed linear space $X$ and present various characterizations of simultaneous metric projection onto closed convex sets in terms of the elements of $X^{\ast}$. Also, we characterize the elements of simultaneous metric projection onto closed convex sets in terms of extreme points of the closed unit ball $B_{X^{\ast}}.$ Finally, as an application, we give various characterizations of simultaneous metric projection onto subspaces of the Banach space $C(Q,Y).$
Citation
M. Iranmanesh. H. Mohebi. "SIMULTANEOUS METRIC PROJECTIONS IN C(Q, Y ) WITH APPLICATIONS." Taiwanese J. Math. 13 (5) 1411 - 1432, 2009. https://doi.org/10.11650/twjm/1500405549
Information