Results 41 to 50 of about 196 (144)
Halpern iteration of Cesàro means for asymptotically nonexpansive mappings [PDF]
, 2020 : Using a new proof technique which is independent of the approximation fixed point of T (limn→∞ xn − T xn = 0) and the convergence of the Browder type iteration path (zt = tu + (1 − t)T zt), the strong convergence of the Halpern iteration {xn} of Cesàro
Yisheng Song, Qingnian Zhang
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang +4 more
wiley +1 more source
On set-convergence statistically modulated [PDF]
We explore some convergence notions for set-convergence coming from modern summability methods. Specifically, we will see the connections between Wijsman fstatistical convergence and Wijsman f-strong Cesàro convergence, when f is a modulus function ...
Romero de la Rosa, María Pilar
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we introduce new Fibonacci‐type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p = (pk) is an arbitrary bounded sequence of positive real numbers. These spaces consist of all sequences whose transforms under the generalized Fibonacci band matrix G(u, v) belong to ...
Sunil K. Sharma +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we revisit the structure of multiplicative metric spaces and investigate analytic notions such as convergence, Cauchy sequences, boundedness, and density within this framework. We extend these concepts to their statistical counterparts, including statistical convergence, statistical Cauchy sequences, statistical boundedness, and ...
Listán García María C +4 more
wiley +1 more source
A viscosity Cesàro mean approximation method for split generalized vector equilibrium problem and fixed point problem [PDF]
, 2015 In this paper, we introduce and study an explicit iterative method to approximate a common solution of split generalized vector equilibrium problem and fixed point problem for a finite family of nonexpansive mappings in real Hilbert spaces using the ...
Kazmi, K.R., Rizvi, S.H., Farid, Mohd.
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On Modulus Statistical Convergence in Partial Metric Spaces
AxiomsModulus statistical convergence has been studied in very different general settings such as topological spaces and uniform spaces. In this manuscript, modulus statistical convergence is defined and studied in partial metric spaces.
Francisco Javier García-Pacheco +1 more
doaj +1 more source
Diagonal Window Tests for Deferred Weighted Frequent Cauchy Sequences and Mean Coherence
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper studies when a diagonal pairwise sampling condition of pre‐Cauchy type can be upgraded to a genuine convergence criterion in the deferred weighted setting. Working with the window system determined by (λ, μ), we introduce a diagonal pairwise framework and compare it with the corresponding two‐parameter Pringsheim measure on N×N.
Ameni Gargouri +4 more
wiley +1 more source
Modulated convergence: a deferred approach
Demonstratio MathematicaIn this paper, we further develop the study of the interplay between statistical and strong Cesàro convergence modulated by a modulus function, as initiated in the papers by Saavedra et al. and Romero de la Rosa.
Et Mikail +2 more
doaj +1 more source
AxiomsWe present a unified framework for fuzzy statistical convergence of Grünwald–Letnikov (GL) fractional differences in Bag–Samanta fuzzy normed linear spaces, addressing memory effects and nonlocality inherent to fractional-order models.
Hasan Öğünmez +1 more
doaj +1 more source