Restricted p-Centers for Sets in Real Locally Convex Spaces

ABSTRACT

Let p be a continuous seminorm on a real locally convex space X. The current paper is concerned with the problem of restricted p-centers in X. Characterizations of restricted p-centers and strongly unique restricted p-centers with respect to a “sun” are provided, and then some recent results due to Laurent and Pai [9 P. J. Laurent and D. Pai ( 1998 ). On simultaneous approximation . Numer. Funct. Anal. Optim. 19 : 1045 – 1064 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]] are extended and improved.