Results 91 to 100 of about 3,792,347 (201)

Orderability and continuous selections for Wijsman and Vietoris hyperspaces

Applied General Topology, 2003
Bertacchi and Costantini obtained some conditions equivalent to the existence of continuous selections for the Wijsman hyperspace of ultrametric Polish spaces. We introduce a new class of hypertopologies, the macro-topologies.
Debora Di Caprio, Stephen Watson
doaj   +1 more source

A 5-Adic Ultrametric Framework for Alignment-Free Phylogenetic Analysis of Hantavirus RNA Sequences

Mathematics
We develop a non-Archimedean framework for the representation and analysis of genomic sequences based on the arithmetic and geometric structure of the ring of 5-adic integers.
Anselmo Torresblanca-Badillo
doaj   +1 more source

Ultrametric Spaces of Branches on Arborescent Singularities [PDF]

, 2018
37 pages, 16 figures. Compared to the first version on Arxiv, il has a new section 4.3, accompanied by 2 new figures.
García Barroso, Evelia, González Pérez, Pedro, Popescu-Pampu, Patrick   +2 more
openaire   +3 more sources

Fixed point results for modular ultrametric spaces

, 2016
In this study, we define the notion of modular ultrametric space. We present a fixed point theorem in modular spherically complete ultrametric space, and prove coincidence point theorem for three self maps in a modular spherically complete ultrametric ...
ALACA, CİHANGİR, Ege, Meltem Erden, Park, Choonkil   +2 more
core  

Multi-Metric φ-Contractions on Quadrilaterals with Applications to Fractional Boundary-Value Problems

Mathematics
In this paper, we introduce a general class of quadrilateral total pairwise φ-contractions and investigate fixed-point results for such mappings in metric and semimetric spaces endowed with multiple distinct metrics.
Ravindra K. Bisht, Manuel De La Sen
doaj   +1 more source

Invariant idempotent measures

Karpatsʹkì Matematičnì Publìkacìï, 2018
The idempotent mathematics is a part of mathematics in which arithmetic operations in the reals are replaced by idempotent operations. In the idempotent mathematics, the notion of idempotent measure (Maslov measure) is a counterpart of the notion of ...
N. Mazurenko, M. Zarichnyi
doaj   +1 more source

Some fixed point results on ultrametric spaces endowed with a graph

Demonstratio Mathematica
The present article deals with new fixed point theorems by means of GG-strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results
Acar Özlem, Özkapu Aybala Sevde, Öztürk Mahpeyker   +2 more
doaj   +1 more source

Center of Distances of Ultrametric Spaces Generated by Labeled Trees

Mathematics
The center of distances of a metric space (X,d) is the set C(X) of all t∈R+ for which the equation d(x,p)=t has a solution for each p∈X. We prove that the equalities C(X)={0} or C(X)={0,diamX} hold if (X,d) is an ultrametric space generated by labeled ...
Oleksiy Dovgoshey, Olga Rovenska
doaj   +1 more source

Linearization in Ultrametric Dynamics in Fields of Characteristic Zero — Equal Characteristic Case

, 2009
Let K be a complete ultrametric field of characteristic zero whose corresponding residue field k is also of characteristic zero. We give lower and upper bounds for the size of linearization disks for power series over K near an indifferent fixed point ...
Lindahl, Karl-Olof,
core   +1 more source

Mathematical Representations of Matte Blanco’s Bi- Logic, based on Metric Space and Ultrametric or Hierarchical Topology: Towards Practical Application

Language and Psychoanalysis, 2014
The Chilean psychoanalyst Ignacio Matte Blanco developed theories of subconscious processes and their relationship with conscious reasoning. This work, in the book The Unconscious and Infinite Sets: An Essay in Bi-Logic published in 1975, uses ...
Fionn Murtagh
doaj   +1 more source