On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems

QR Code

On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems

In this paper, we define the limit set Λξ of an unconventional set of contractive functions {fk} on the unit ball of non-Archimedean algebra. Then, we prove that Λξ is compact, perfect and uniformly disconnected. It is shown that there is a new collection of contractive mappings (Formula presented.)...

Full description

Bibliographic Details
Main Authors:	Mukhamedov, Farrukh M., Khakimov, Otabek Kh
Format:	Article
Language:	English English
Published:	Taylor and Francis Ltd. 2016
Subjects:	Q Science (General) QA Mathematics
Online Access:	http://irep.iium.edu.my/58860/ http://irep.iium.edu.my/58860/1/58860_On%20metric%20properties%20of%20unconventional_article.pdf http://irep.iium.edu.my/58860/2/58860_On%20metric%20properties%20of%20unconventional_scopus.pdf

Similar Items

On limit sets of contractive functions on p-adic field
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Cyclic operators on topological vector spaces over non-archimedean valued fields
by: Mukhamedov, Farrukh, et al.
Published: (2015)

On non-Archimedean recurrence equations and their applications
by: Mukhamedov, Farrukh, et al.
Published: (2015)

Recurrence equations over trees in a non-Archimedean context
by: Mukhamedov, Farrukh
Published: (2014)

On periodic Gibbs measures of p-adic Potts model on a Cayley Tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Phase transition and chaos: P-adic Potts model on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

On surjective second order non-linear Markov operators and associated nonlinear integral equations
by: Mukhamedov, Farrukh, et al.
Published: (2018)

On a generalized self-similarity in the p-Adic field
by: Mukhamedov, Farrukh M., et al.
Published: (2016)

On p-adic Ising–Vannimenus model on an arbitrary order Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2015)

Translation-invariant p-adic quasi-Gibbs measures for the Ising–Vannimenus model on a Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2016)

A new one parameter family of Archimedean copula and its extensions / Azam Pirmoradian
by: Pirmoradian, Azam
Published: (2013)

On dominant contractions and a generalization of the zero–two law
by: Mukhamedov, Farrukh
Published: (2011)

On limit theorems in JW-Algebras
by: Karimov , Abdusalom, et al.
Published: (2010)

On a genaralized uniform zero-two law for positive contractions of non-commutative L1-spaces
by: Ganiev, Inomjon, et al.
Published: (2016)

Ergodic properties of non-homogeneous Markov chains on ordered Banach spaces
by: Mukhamedov, Farrukh
Published: (2014)

Relative ergodic properties of C*-dynamical systems
by: Duvenhage, Rocco, et al.
Published: (2014)

A note on dominant contractions of Jordan algebras
by: Mukhamedov, Farrukh, et al.
Published: (2010)

A few remarks on relative ergodic properties of C*-dynamical system
by: Duvenhage, Rocco, et al.
Published: (2015)

Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice L_M(N,m)
by: Mukhamedov, Farrukh, et al.
Published: (2015)

Unconventional oilseeds and oil sources
by: Mariod, Abdalbasit Adam, et al.
Published: (2017)

The strong "zero-two" law for positive contractions of banach-kantorovich Lp-lattices
by: Ganiev, Inomjon, et al.
Published: (2015)

A weighted ergodic theorem for contractions defined on Banach-Kantorovich lattice
by: Ganiev, Inomjon, et al.
Published: (2011)

On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem
by: Mukhamedov, Farrukh
Published: (2010)

On L_1 -weak ergodicity of non-homogeneous discrete Markov processes
by: Mukhamedov, Farrukh
Published: (2012)

A dynamical system arising from population genetics
by: Mukhamedov, Farrukh, et al.
Published: (2011)

On dynamical systems and phase transitions for q + 1-state p-adic Potts model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2013)

On dynamical systems and phase transitions for Q + 1-state P-adic Potts model on the Cayley tree
by: Mukhamedov, Farrukh
Published: (2010)

On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems
by: Mukhamedov, Farrukh
Published: (2012)

On dynamics of Lotka-Volterra type operators
by: Mukhamedov, Farrukh, et al.
Published: (2014)

Measurable bundles of C*-dynamical systems
by: Ganiev, Inomjon, et al.
Published: (2011)

Dynamics of quantum quadratic Volterra operators
by: Mukhamedov, Farrukh, et al.
Published: (2013)

On dynamics of quantum quadratic operators on M2(C)
by: Mukhamedov, Farrukh, et al.
Published: (2010)

Measurable bundles of C*-dynamical systems and its applications
by: Ganiev, Inomjon, et al.
Published: (2014)

Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base
by: Mukhamedov, Farrukh
Published: (2015)

A dynamical system approach to phase transitions for p-adic Potts model on the Cayley tree of order two
by: Mukhamedov, Farrukh
Published: (2012)

Dynamics of generalized logistic maps
by: Alladad, Intan Nurul Dayana, et al.
Published: (2011)

Ergodicity coefficient and ergodic properties of inhomogeneous Markov chains inordered normed spaces with a base
by: Mukhamedov, Farrukh, et al.
Published: (2016)

Stability of a dynamical system related to XY-Model in Quantum Markov Chains Scheme
by: Mukhamedov, Farrukh, et al.
Published: (2010)

On dynamical system relating to quantum Markov chain associated with Ising Model on Cayley tree
by: Mukhamedov, Farrukh, et al.
Published: (2011)

Hyperstability results for the General Linear Functional Equation in Non-Archimedean 2-Banach Spaces
by: Shujauddin Shuja,, et al.
Published: (2024)