Explanipedia

General Summability Factor Theorems and Applications Open

Β. E. Rhoades, Ekrem Savaș · 2024

We obtain sufficient and (different) necessary conditions for the series $\sum a_{n}$, which is absolutely summable of order $k$ by a triangular matrix method $A$, to be such that $\sum a_{n}\lambda_n$ is absolutely summable of order $k$ b…

Absolute Tauberian Constants for Lower Triangular Matrices Open

F. Aydin Akgun, Β. E. Rhoades · 2024

In a recent paper [1] the authors obtained absolute Tauberian constants for the H-J generalized Hausdorff transformations, which generalized the corresponding results, obtained earlier by Sherif, for ordinary Hausdorff matrices. In this pa…

E-J Summability of Orthogonal Series Open

Fatma AydÄ±n AkgÃ ⁄ n, Β. E. Rhoades · 2020

In this paper we obtain a sufficient condition for the E-J summability of certain orthogonal series.Â Our results generalize the corresponding theorems for ordinary Hausdorff summability obtained by Kalaivana and Youvaraj.

Cesaro-Like Operators Open

Β. E. Rhoades, David Trutt · 2020

In previous work it was shown that the lower triangular generalized Hausdorff matrix $H_{\alpha}$ with nonzero entries $h_{nk} = (n+\alpha+1)^{-1}$, for $\alpha \geq 0$, is subnormal on $\ell^2$ if and only if $\alpha = 0, 1, 2, \ldots$. F…

Common fixed points for R-weakly commuting mappings satisfying a weak contraction Open

Deepak Kumar Jain, Sanjay Kumar, Β. E. Rhoades · 2019

Correction to: Some generalizations for ( α − ψ , ϕ ) $(\alpha-\psi,\phi)$ -contractions in b-metric-like spaces and an application Open

Kastriot Zoto, Β. E. Rhoades, Stojan Radenović · 2018

In the publication of this article [Fixed Point Theory Appl. 2017:26, 2017], there is an error in Section 3. The error: Corollary 3.22 Let ( X , σ b ) $( X,\sigma_{b} ) $ be a complete b-metric-like space with parameter s ≥ 1 $s \ge 1$ , a…

Some generalizations for $(\alpha - \psi,\phi )$-contractions in b-metric-like spaces and an application Open

Kastriot Zoto, Β. E. Rhoades, Stojan Radenović · 2017

General fixed point results in dislocated metric spaces Open

Gerald Jungck, Β. E. Rhoades · 2017

monotonluğu Koruyan Matrisler Open

F. Aydin Akgun, Sameerah Mahmood Mohammed, Β. E. Rhoades · 2017

We obtain the conditions for a large class of nonnegative triangular matrix transformations to map positive monotonedecreasing sequences into positive monotone decreasing sequences.

Characterizations of H-J matrices Open

F. Aydin Akgun, Β. E. Rhoades · 2016

In this paper we provide two characterizations of H-J generalized Hausdor matrices. The first is a recursion relationship among each nonzero triangular array consisting of three terms, and the second is a generalization of the classical Hu…

Fixed point theorems for occasionally weakly compatible mappings, II Open

Β. E. Rhoades · 2015

In this paper we point out that a number of fixed point papers, involving several maps, are special cases of a general result proved several years ago by the author and G. F. Jungck, and one proved by Aliouche and Popa [1].

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