Wavelets and the complete invariance property
Weak and Semi Compatible Maps in Probabilistic Metric Space Using Implicit Relation
2000 Mathematics Subject Classification: 54H25, 47H10.The concept of semi compatibility is given in probabilistic metric space and it has been applied to prove the existence of unique common fixed point of four self-maps with weak compatibility satisfying an implicit relation. At the end we provide examples in support of the result.Authors thank to MPCOST, Bhopal for financial support through the project M-19/2006.
Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings.
Weak compatibility and fixed point theorems for four self-maps in -metric spaces.
Weak continuity properties of topologized groups
We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if is a regular right (left) semitopological group with such that all left (right) translations are feebly continuous, then is a topological group. This extends several results in literature.
Weakly almost periodic mappings on one- and two-manifolds
Weakly Borel-complete topological spaces
Weakly compatible maps in 2-non-Archimedean Menger PM-spaces.
Weakly contractive maps and common fixed points
Weakly Contractive maps and Elementary Domain Invariance Theorem
Weakly countably determined spaces of high complexity
We prove that there exist weakly countably determined spaces of complexity higher than coanalytic. On the other hand, we also show that coanalytic sets can be characterized by the existence of a cofinal adequate family of closed sets. Therefore the Banach spaces constructed by means of these families have at most coanalytic complexity.
Weakly Picard mappings
In this paper we generalize the well known converse to the contraction principle due to C. Bessaga, dropping the uniqueness of the fixed point from its hypotheses. Some properties of weakly Picard mappings are given.
Well-posedness and fractals via fixed point theory.
Weyl almost periodic points in topological dynamics
What to embed into a Cartesian closed topological category (Preliminary communication)
When are Borel functions Baire functions?
The following two theorems give the flavour of what will be proved. Theorem. Let Y be a complete metric space. Then the families of first Baire class functions and of first Borel class functions from [0,1] to Y coincide if and only if Y is connected and locally connected.Theorem. Let Y be a separable metric space. Then the families of second Baire class functions and of second Borel class functions from [0,1] to Y coincide if and only if for all finite sequences of nonempty open subsets of Y there...
When every point is either transitive or periodic
We study transitive non-minimal ℕ-actions and ℤ-actions. We show that there are such actions whose non-transitive points are periodic and whose topological entropy is positive. It turns out that such actions can be obtained by perturbing minimal systems under some reasonable assumptions.
When is a group homomorphism a covering homomorphism?
Wide tree-like spaces have a fixed point