-minimal sets and related topics in transformation semigroups. II.
-minimal sets and related topics in transformation semigroups. I.
A minimalization of 0-dimensional metric spaces
A minimum theorem for n-valued multifunctions
A monadic approach to k-spaces
A multi-step iterative method for approximating fixed points of Presić-Kannan operators.
A multivalued fixed point theorem in non-archimedean vector spaces.
A narrow view of set theoretic topology
A new approach for KM-fuzzy partial metric spaces
The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric. Then its relationship with the KM-fuzzy quasi-metric is established. In particularly, we construct a KM-fuzzy quasi-metric from a KM-fuzzy partial metric. Finally, after defining the notion of partial pseudo-metric systems, a one-to-one correspondence between partial pseudo-metric systems and...
A new approach to a hyperspace theory.
A new characterization of compact sets in function spaces
A new characterization of Eberlein compacta
We give a sufficient and necessary condition for a Radon-Nikodým compact space to be Eberlein compact in terms of a separable fibre connecting weak-* and norm approximation.
A new characterization of spaces with locally countable -networks
A new class of nonexpansive type mappings and fixed points
In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
A new class of quasi-uniform spaces.
A new class of weakly countably determined Banach spaces
A class of Banach spaces, countably determined in their weak topology (hence, WCD spaces) is defined and studied; we call them strongly weakly countably determined (SWCD) Banach spaces. The main results are the following: (i) A separable Banach space not containing ℓ¹(ℕ) is SWCD if and only if it has separable dual; thus in particular, not every separable Banach space is SWCD. (ii) If K is a compact space, then the space C(K) is SWCD if and only if K is countable.
A new class of weakly -analytic Banach spaces
In this paper we define and investigate a new subclass of those Banach spaces which are -analytic in their weak topology; we call them strongly weakly -analytic (SWKA) Banach spaces. The class of SWKA Banach spaces extends the known class of strongly weakly compactly generated (SWCG) Banach spaces (and their subspaces) and it is related to that in the same way as the familiar classes of weakly -analytic (WKA) and weakly compactly generated (WCG) Banach spaces are related. We show that: (i) not...
A new dimension type
A new extension of countable compactness
A new fixed-point theorem for contractive mappings.