Generalization of contra-continuous functions.
Generalizations of Ascoli's theorems
Generalizations of Lašnev's theorem
Generalizations of the Fan-Browder fixed point theorem and minimax inequalities
In this paper fixed point theorems for maps with nonempty convex values and having the local intersection property are given. As applications several minimax inequalities are obtained.
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 Caristi's fixed point theorems.
Generalized connected functions
Generalized continuity and generalized closed graphs
Generalized continuity and separate continuity
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...
Generalized Lusin sets with the Blackwell property
Generalized manifolds ANR's and AR's and null decompositions of manifolds
Generalized mappings between fuzzy topological spaces.
Generalized paths and pointed 1-movability
Generalized quasivariational inequalities on Fréchet spaces
In this paper generalized quasivariational inequalities on Fréchet spaces are deduced from new fixed point theory of Agarwal and O’Regan [1] and O’Regan [7].
Generalized tri-quotient maps and Čech-completeness
For a topological space let be the set of all compact subsets of . The purpose of this paper is to characterize Lindelöf Čech-complete spaces by means of the sets . Similar characterizations also hold for Lindelöf locally compact , as well as for countably -determined spaces . Our results extend a classical result of J. Christensen.
Generalized vector quasi-equilibrium problems with set-valued mappings.
Generalizing the Fixed Point Index.