Generalizations of the uniform convergence
Generalized Alexandroff Duplicates and CD 0(K) spaces
We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].
Generalized analytic spaces, completeness and fragmentability
Classical analytic spaces can be characterized as projections of Polish spaces. We prove analogous results for three classes of generalized analytic spaces that were introduced by Z. Frolík, D. Fremlin and R. Hansell. We use the technique of complete sequences of covers. We explain also some relations of analyticity to certain fragmentability properties of topological spaces endowed with an additional metric.
Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits.
Generalized Caristi's fixed point theorems.
Generalized closed sets in Čech closed spaces.
Generalized common fixed point theorems for a sequence of fuzzy mappings.
Generalized compactness in fuzzy topological spaces
Generalized concentrative mappings and their fixed points
Generalized cone metric spaces.
Generalized connected functions
Generalized continuity and generalized closed graphs
Generalized continuity and separate continuity
Generalized contraction principle.
Generalized contractions and common fixed point theorems concerning -distance.
Generalized contractions and fixed-point theorems.
Generalized distance and fixed point theorems in partially ordered probabilistic metric spaces
Generalized dyadic spaces
Generalized fuzzy compactness in -topological spaces.
Generalized Helly spaces, continuity of monotone functions, and metrizing maps
Given an ordered metric space (in particular, a Banach lattice) E, the generalized Helly space H(E) is the set of all increasing functions from the interval [0,1] to E considered with the topology of pointwise convergence, and E is said to have property (λ) if each of these functions has only countably many points of discontinuity. The main objective of the paper is to study those ordered metric spaces C(K,E), where K is a compact space, that have property (λ). In doing so, the guiding idea comes...