Best approximations theorem for a couple in cone Banach space.
Best constants for metric space inversion inequalities
For every metric space (X, d) and origin o ∈ X, we show the inequality I o(x, y) ≤ 2d o(x, y), where I o(x, y) = d(x, y)/d(x, o)d(y, o) is the metric space inversion semimetric, d o is a metric subordinate to I o, and x, y ∈ X o The constant 2 is best possible.
Best proximity pairs for upper semicontinuous set-valued maps in hyperconvex metric spaces.
Best proximity pairs theorems for continuous set-valued maps.
Best proximity point theorems for -cyclic Meir–Keeler contractions.
Best proximity points of cyclic -contractions on reflexive Banach spaces.
Best proximity sets and equilibrium pairs for a finite family of multimaps.
Best simultaneous approximations
In this paper we study simultaneous approximation of real-valued functions in and give a generalization of some related results.
Betti numbers of regions of attraction
Between closed sets and generalized closed sets in closure spaces
The purpose of the present paper is to define and study -closed sets in closure spaces obtained as generalization of the usual closed sets. We introduce the concepts of -continuous and -closed maps by using -closed sets and investigate some of their properties.
Beyond Lebesgue and Baire II: Bitopology and measure-category duality
We re-examine measure-category duality by a bitopological approach, using both the Euclidean and the density topologies of the line. We give a topological result (on convergence of homeomorphisms to the identity) obtaining as a corollary results on infinitary combinatorics due to Kestelman and to Borwein and Ditor. We hence give a unified proof of the measure and category cases of the Uniform Convergence Theorem for slowly varying functions. We also extend results on very slowly varying functions...
Beziehungen zwischen gewissen Topologien in noetherschen Ringen
Biequivalences and topology in the alternative set theory
Biframe compactifications
Compactifications of biframes are defined, and characterized internally by means of strong inclusions. The existing description of the compact, zero-dimensional coreflection of a biframe is used to characterize all zero-dimensional compactifications, and a criterion identifying them by their strong inclusions is given. In contrast to the above, two sufficient conditions and several examples show that the existence of smallest biframe compactifications differs significantly from the corresponding...
Bifurcation for the solutions of equations involving set valued mappings.
Bifurcations in One Dimension. I. The Nonwandering Set.
Bihomogeneity of solenoids.
Bijections of scattered spaces onto compact Hausdorff
Bijections onto compact spaces
Bi-Lipschitz Bijections of Z
It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.