Convexities and Existence of the Farthest Point

SOME NEW RESULTS ON REMOTEST POINTS IN NORMED SPACES

In this paper, using the best proximity theorems for an extensionof Brosowski's theorem. We obtain other results on farthest points. Finally, wedene the concept of e- farthest points. We shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a-best approximati...

w_0-Nearest Points and w_0-Farthest Point in Normed Linear Spaces

w0-Nearest Points and w0-Farthest Point in Normed Linear Spaces

On co-Farthest Points in Normed Linear Spaces

In this paper, we consider the concepts co-farthest points innormed linear spaces. At first, we define farthest points, farthest orthogonalityin normed linear spaces. Then we define co-farthest points, co-remotal sets,co-uniquely sets and co-farthest maps. We shall prove some theorems aboutco-farthest points, co-remotal sets. We obtain a necessary and coecient conditions...

Chebyshev Centers and Approximation in Pre-Hilbert C*-Modules

Irreducibility, Resource Relatedness and Survival in Equilibrium with Individual Non-convexities

Standard results in general equilibrium theory, such as existence and the second efficiency and core equivalence theorems, are most easily proved for compensated equilibria. A new condition establishes that, even with individual non-convexities, in compensated equilibrium any agent with a cheaper feasible net trade is also in uncompensated equilibrium. Some generalizations of McKenzie’s irreduc...