Analysis of signals with inexact data by using interval-valued functions

Levent, Halise; Yilmaz, Yılmaz

doi:10.1007/s41478-022-00422-0

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2023

2024

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Cited by 4 publications

(2 citation statements)

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“…Because some members of I have not a additive inverse member, so I cannot be a linear space. The algebraic structure of I is named a quasilinear space (QLS) [6]. The QLS was first stated by Aseev in 1986 [8].…”

Section: Preliminariesmentioning

confidence: 99%

A unique equivalence class of near-points of coincidence for generalized contractions in interval spaces

Sharifi,

Mosadegh

2024

Preprint

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In this article, we discuss some theorems of near-points of coincidence for generalized contractive mappings in metric and normed interval spaces that are also weakly compatible self-mappings. In these theorems, we investigate the existence and uniqueness of common near-fixed points. We also provide examples to demonstrate the validity of our work. Mathematics Subject Classification (2010). Primary 47H10; Secondary 54H25.

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Section: Preliminariesmentioning

confidence: 99%

A unique equivalence class of near-points of coincidence for generalized contractions in interval spaces

Sharifi,

Mosadegh

2024

Preprint

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“…In addition, Yılmaz et al [11] demonstrated that Hilbert quasilinear spaces are a special class of fuzzy number sequences. In [12,13], Levent and Yılmaz included some quasilinear applications, such as signal processing.…”

Section: Introductionmentioning

confidence: 99%

On Soft Normed Quasilinear Spaces

BULAK,

BOZKURT

2023

Journal of New Theory

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In this study, we investigate some properties of soft quasi-sequences and present new results. We then study the completeness of soft normed quasilinear space and present an analog of convergence and boundness results of soft quasi sequences in soft normed quasilinear spaces. Moreover, we define regular and singular subspaces of soft quasilinear spaces and draw several conclusions related to these notions. Afterward, we provide examples of these results in soft normed quasilinear spaces generalizing well-known results in soft linear normed spaces. Additionally, we offer new results concerning soft quasi subspaces of soft normed quasilinear spaces. Finally, we discuss the need for further research.

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