Triangle contractive self maps of a Hilbert space
Triangular maps with the chain recurrent points periodic.
Truncated Lie groups and almost Klein models
We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.
T-stability approach to variational iteration method for solving integral equations.
Turning Borel sets into clopen sets effectively
We present the effective version of the theorem about turning Borel sets in Polish spaces into clopen sets while preserving the Borel structure of the underlying space. We show that under some conditions the emerging parameters can be chosen in a hyperarithmetical way and using this we obtain some uniformity results.
Two applications of analytic topologies.
Two fixed point theorems for generalized contractions with constants in complete metric space
In this paper we prove two fixed point theorems for generalized contractions with constants in complete metric space, which are generalizations of very recent results of Kikkawa and Suzuki.
Two general fixed point theorems on three complete metric spaces.
Two generic results in fixed point theory
We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansive mappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces.
Two kinds of chaos and relations between them.
Two Results on Jachymski-Schröder-Stein Contractions
We establish two fixed point theorems for certain mappings of contractive type.
Two spaces homeomorphic to
We consider the spaces called , constructed on the set of all finite sequences of natural numbers using ultrafilters to define the topology. For such spaces, we discuss continuity, homogeneity, and rigidity. We prove that is homogeneous if and only if all the ultrafilters have the same Rudin-Keisler type. We proved that a space of Louveau, and in certain cases, a space of Sirota, are homeomorphic to (i.e., for all ). It follows that for a Ramsey ultrafilter , is a topological group....
Two theorems concerning common fixed point of commutative mappings
Two types of remainders of topological groups
We prove a Dichotomy Theorem: for each Hausdorff compactification of an arbitrary topological group , the remainder is either pseudocompact or Lindelöf. It follows that if a remainder of a topological group is paracompact or Dieudonne complete, then the remainder is Lindelöf, and the group is a paracompact -space. This answers a question in A.V. Arhangel’skii, Some connections between properties of topological groups and of their remainders, Moscow Univ. Math. Bull. 54:3 (1999), 1–6. It is...
Types topologiques des polynômes
Typical continuous function without cycles is stable