Some continuous separation axioms
Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators
We study some qualitative features like convergence, stability and data dependency for Picard-S iteration method of a quasi-strictly contractive operator under weaker conditions imposed on parametric sequences in the mentioned method. We compare the rate of convergence among the Mann, Ishikawa, Noor, normal-S, and Picard-S iteration methods for the quasi-strictly contractive operators. Results reveal that the Picard-S iteration method converges fastest to the fixed point of quasi-strictly contractive...
Some convergence theorems of a sequence in complete metric spaces and its applications.
Some counterexamples and properties on generalizations of Lindelöf spaces.
Some coupled fixed point results on partial metric spaces.
Some coupled fixed point theorems in cone metric spaces.
Some cover properties of nonseparable metric spaces
Some covering spaces and types of compactness.
Some curves of prescribed rim-types
Some dynamical properties of S-unimodal maps
We study 1) the slopes of central branches of iterates of S-unimodal maps, comparing them to the derivatives on the critical trajectory, 2) the hyperbolic structure of Collet-Eckmann maps estimating the exponents, and under a summability condition 3) the images of the density one under the iterates of the Perron-Frobenius operator, 4) the density of the absolutely continuous invariant measure.
Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains.
Some examples in the dimension theory of Tychonoff spaces
Some examples in the theory of Borel sets
Some examples of continuous images of Radon-Nikodým compact spaces
We provide a characterization of continuous images of Radon-Nikodým compacta lying in a product of real lines and model on it a method for constructing natural examples of such continuous images.
Some examples of d-ideals and related Baire systems
Some examples of irreducibly confluent mappings
Some examples of true sets
Let K(X) be the hyperspace of a compact metric space endowed with the Hausdorff metric. We give a general theorem showing that certain subsets of K(X) are true sets.
Some examples related to colorings
We complement the literature by proving that for a fixed-point free map the statements (1) admits a finite functionally closed cover with for all (i.e., a coloring) and (2) is fixed-point free are equivalent. When functionally closed is weakened to closed, we show that normality is sufficient to prove equivalence, and give an example to show it cannot be omitted. We also show that a theorem due to van Mill is sharp: for every we construct a strongly zero-dimensional Tychonov space...
Some existence and non-existence theorems for k-regular maps
Some extension and classification theorems for maps of movable spaces