Results 71 to 80 of about 307 (168)

Entropy-Based Statistics and Their Applications. [PDF]

Entropy (Basel), 2023
Zhang Z.
europepmc   +1 more source

Cq-commuting maps and invariant approximations

Fixed Point Theory and Applications, 2006
We obtain common fixed point results for generalized I-nonexpansive Cq-commuting maps. As applications, various best approximation results for this class of maps are derived in the setup of certain metrizable topological vector spaces.
B. E. Rhoades, N. Hussain
doaj   +1 more source

The Arens Algebras of Vector-Valued Functions

Journal of Function Spaces, 2014
A class of Arens algebras of vector Banach algebra valued functions is considered. It is shown that Arens algebra of vector-valued functions is complete locally convex metrizable algebra.
I. G. Ganiev, O. I. Egamberdiev
doaj   +1 more source

On quasi-irresolute characterization of topological loops. [PDF]

Sci Prog, 2021
Alolaiyan H, Maqbool K, Yousaf A, Razaq A.   +3 more
europepmc   +1 more source

Metrization of idempotent semiring of topological rings

Applied General Topology
In this paper, we have introduced natural H+ - pseudovaluation and  H+ -norm on a completely regular semiring making it a topological completely regular (algebraic) semiring and established some necessary and sufficient conditions of metrizability of a ...
Sunil Kumar Maity, Gopal Adak
doaj   +1 more source

Projective Metrizability and Formal Integrability

Symmetry, Integrability and Geometry: Methods and Applications, 2011
The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves.
Ioan Bucataru, Zoltán Muzsnay
doaj   +1 more source

Only 3-generalized metric spaces have a compatible symmetric topology

Open Mathematics, 2015
We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.
Suzuki Tomonari, Alamri Badriah, Kikkawa Misako   +2 more
doaj   +1 more source

Common fixed point and invariant approximation results in certain metrizable topological vector spaces

Fixed Point Theory and Applications, 2006
We obtain common fixed point results for generalized I-nonexpansive R-subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain ...
Vasile Berinde, Nawab Hussain
doaj   +1 more source

On approximation of mappings with values in the space of continuous functions

Karpatsʹkì Matematičnì Publìkacìï, 2012
Using a theorem on the approximation of the identity in the Banach space $C_u(Y)$ of all continuous functions$g: Yightarrow mathbb{R}$, defined on a metrizable compact $Y$ with theuniform norm, we prove that for a topological space $X$,a metrizable ...
Maslyuchenko V.K., Nesterenko O.N., Voloshyn H.A.   +2 more
doaj  

Matrix transformations and convex spaces

International Journal of Mathematics and Mathematical Sciences, 1988
In a Hausdorff topological linear space we examine relations between r-convexity and a condition on matrix transformations between null sequences. In particular, for metrizable spaces the condition implies r-convexity.
I. J. Maddox
doaj   +1 more source