Two dual sequence functions describing some kind of local convexity and dimension of subspaces of linear metric spaces are introduced. It is shown that the functions give a useful tool in the investigations of fixed point properties of the Schauder type
AbstractWe show that, if (F →u X) is a linear system, Ω ⊂ X a convex target set and h: X → R̄ a conv...
summary:Converging sequences in metric space have Hausdorff dimension zero, but their metric dimensi...
AbstractThis note, through discussing convexification of functions on any sets, extends Stegall's ma...
In the first chapter we construct a new example of an affine norm continuous mapping on a closed, co...
We show that Takahashi's idea of convex structures on metric spaces is a natural generalization of c...
AbstractWe show that Takahashi's idea of convex structures on metric spaces is a natural generalizat...
AbstractWe show that Takahashi's idea of convex structures on metric spaces is a natural generalizat...
AbstractThis paper gives theorems on the dimension of solution sets of semi-infinite systems of line...
Let X be a Hausdorff topological vector space, X* its topological dual and Z a subset of X*. In this...
We show that for a metrizable locally convex space X the following condi-tions are equivalent: (i) e...
AbstractA notion of dimension for topological convex structures has been investigated. It is shown t...
AbstractLet {ui}i = 0∞ be a sequence of continuous functions on [0, 1] such that (u0,…, uk) is a Tch...
AbstractThe paper deals with the usual fixed point property and the following Kakutani property of a...
We evaluate the shattering dimension of various classes of linear functionals on various symmetric ...
In the present paper fixed point theorems are proved for 2- metric spaces with continous convex str...
AbstractWe show that, if (F →u X) is a linear system, Ω ⊂ X a convex target set and h: X → R̄ a conv...
summary:Converging sequences in metric space have Hausdorff dimension zero, but their metric dimensi...
AbstractThis note, through discussing convexification of functions on any sets, extends Stegall's ma...
In the first chapter we construct a new example of an affine norm continuous mapping on a closed, co...
We show that Takahashi's idea of convex structures on metric spaces is a natural generalization of c...
AbstractWe show that Takahashi's idea of convex structures on metric spaces is a natural generalizat...
AbstractWe show that Takahashi's idea of convex structures on metric spaces is a natural generalizat...
AbstractThis paper gives theorems on the dimension of solution sets of semi-infinite systems of line...
Let X be a Hausdorff topological vector space, X* its topological dual and Z a subset of X*. In this...
We show that for a metrizable locally convex space X the following condi-tions are equivalent: (i) e...
AbstractA notion of dimension for topological convex structures has been investigated. It is shown t...
AbstractLet {ui}i = 0∞ be a sequence of continuous functions on [0, 1] such that (u0,…, uk) is a Tch...
AbstractThe paper deals with the usual fixed point property and the following Kakutani property of a...
We evaluate the shattering dimension of various classes of linear functionals on various symmetric ...
In the present paper fixed point theorems are proved for 2- metric spaces with continous convex str...
AbstractWe show that, if (F →u X) is a linear system, Ω ⊂ X a convex target set and h: X → R̄ a conv...
summary:Converging sequences in metric space have Hausdorff dimension zero, but their metric dimensi...
AbstractThis note, through discussing convexification of functions on any sets, extends Stegall's ma...