Best approximation and fixed points in strong -starshaped metric spaces.
Best approximation and strict convexity of metric spaces
Best approximation in Orlicz spaces.
Best approximation in spaces of bounded linear operators [Book]
Best Approximation in the Space of Bounded Operators and its Applications.
Best Approximation In Vector Valued Function Spaces.
Best Approximation with Exponential Orders and Intermediate Spaces.
Best approximations and porous sets
Let be a nonempty compact subset of a Banach space and denote by the family of all nonempty bounded closed convex subsets of . We endow with the Hausdorff metric and show that there exists a set such that its complement is -porous and such that for each and each , the set of solutions of the best approximation problem , , is nonempty and compact, and each minimizing sequence has a convergent subsequence.
Best approximations, fixed points and parametric projections
If f is a continuous seminorm, we prove two f-best approximation theorems for functions Φ not necessarily continuous as a consequence of our version of Glebov's fixed point theorem. Moreover, we obtain another fixed point theorem that improves a recent result of [4]. In the last section, we study continuity-type properties of set valued parametric projections and our results improve recent theorems due to Mabizela [11].
Best approximations theorem for a couple in cone Banach space.
Best coapproximation in metric spaces.
Best Coapproximation in Normed Linear Spaces.
Best proximity point theorems for -cyclic Meir–Keeler contractions.
Best simultaneous approximation in Orlicz spaces.
Best Simultaneous Approximation of Bounded Functions with Values in Certain Banach Spaces.
Best simultaneous approximations
In this paper we study simultaneous approximation of real-valued functions in and give a generalization of some related results.
Best Uniform Approximation from a Collection of Subspaces.
Boundaries of convex sets.
Breaking the curse of dimensionality [Book]
Brushlet characterization of the Hardy space H1(R) and the space BMO.
A typical wavelet system constitutes an unconditional basis for various function spaces -Lebesgue, Besov, Triebel-Lizorkin, Hardy, BMO. One of the main reasons is the frequency localization of an element from such a basis. In this paper we study a wavelet-type system, called a brushlet system. In [3] it was noticed that brushlets constitute unconditional bases for classical function spaces such as the Triebel-Lizorkin and Besov spaces. In this paper we study brushlet expansions of functions in the...