Fixed-point results for generalized contractions on ordered gauge spaces with applications.
Fixed-point theorems for multi-valued functions and their applications to functional equations [Book]
Fix-finite approximation of n-valued multifunctions
Fix-finite approximation property in normed vector spaces.
Fixpoints Of Decreasing Mappings Of Ordered Sets
Fixpoints of decreasing mappings of ordered sets.
Fixpunkte in homogenen Räumen.
Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen
Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem
We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.
Flows and periodic motions
Flows in Networks and Hausdorff Measures Associated. Applications to Fractal Sets in Euclidian Space
Flows on Invariant Subsets and Compactifications of a Locally Compact Group
Flows on one-dimensional spaces
Flows with cyclic winding numbers groups.
Fractals of generalized F− Hutchinson operator
The aim of this paper is to construct a fractal with the help of a finite family of F− contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature.
Fragmentable mappings and CHART groups
The purpose of this note is two-fold: firstly, to give a new and interesting result concerning separate and joint continuity, and secondly, to give a stream-lined (and self-contained) proof of the fact that "tame" CHART groups are topological groups.
Frames in Priestley's duality
Fréchet property in compact spaces is not preserved by -equivalence
An example of two -equivalent (hence -equivalent) compact spaces is presented, one of which is Fréchet and the other is not.
Free non-archimedean topological groups
We study free topological groups defined over uniform spaces in some subclasses of the class of non-archimedean groups. Our descriptions of the corresponding topologies show that for metrizable uniformities the corresponding free balanced, free abelian and free Boolean groups are also metrizable. Graev type ultra-metrics determine the corresponding free topologies. Such results are in a striking contrast with free balanced and free abelian topological groups cases (in standard varieties). Another...
From the theorem of Ważewski to computer assisted proofs in dynamics