A permanence theorem for sums of sequence spaces

Vector ultrametric spaces and a fixed point theorem for correspondences

In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.

A New Class of Banach Sequence Spaces

A Complete Aak-theorem for Weighted Sequence Spaces

Abstract. We give a full extension of (one version of) the celebrated "AAK-theorem" on Hankel operators, to the case of weighted l-spaces with increasing weights. This theorem was conjectured in [3], and it improves earlier work by S. Treil and A. Volberg, [8]. We also show that the corresponding extension of the classical formulation of the "AAK-theorem" fails, and show that this is a conseque...

Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces

In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex minimization problems.

Uniquely Remotal Sets in $c_0$-sums and $ell^infty$-sums of Fuzzy Normed Spaces

Let $(X, N)$ be a fuzzy normed space and $A$ be a fuzzy boundedsubset of $X$.  We define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums offuzzy normed spaces. Then we will show that in these spaces, all  fuzzyuniquely remotal sets are singletons.