Results 21 to 30 of about 21,951 (149)
Function Weighted Quasi-Metric Spaces and Fixed Point Results
IEEE Access, 2019 Hereafter, the concept of a function weighted quasi-metric space is introduced. A necessary topology on this new structure is considered. A condition that ensures the uniqueness of the limit of a sequence in such a space is provided.
Erdal Karapinar +2 more
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A Solution to the Completion Problem for Quasi-Pseudometric Spaces
International Journal of Mathematics and Mathematical Sciences, 2013 The different notions of Cauchy sequence and completeness proposed in the literature for quasi-pseudometric spaces do not provide a satisfactory theory of completeness and completion for all quasi-pseudometric spaces. In this paper, we introduce a notion
Athanasios Andrikopoulos
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Fixed Point Results in Quasi-Cone Metric Spaces
Abstract and Applied Analysis, 2013 The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. This is achieved by introducing different kinds of Cauchy sequences in quasi-cone metric spaces.
Fawzia Shaddad, Mohd Salmi Md Noorani
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A study involving the completion of quasi 2-normed space
, 2012 The fundamental aim of this paper is to introduce and investigate a new property of quasi 2-normed space based on a question given by C. Park (2006) [2] for the completion quasi 2-normed space.
Acikgoz, Mehmet, Kir, Mehmet
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The Riemannian L^2 topology on the manifold of Riemannian metrics
, 2010 We study the manifold of all Riemannian metrics over a closed, finite-dimensional manifold. In particular, we investigate the topology on the manifold of metrics induced by the distance function of the L^2 Riemannian metric - so called because it induces
Clarke, Brian
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λ-quasi Cauchy sequence of fuzzy numbers
Proyecciones (Antofagasta), 2021 In this paper we introduce the λ -quasi Cauchy sequence of fuzzy numbers. We obtain the relation between strongly λ-quasi Cauchy convergence and statistically λ -quasi Cauchy convergence for fuzzy numbers.
Achyutananda Baruah, Bipan Hazarika
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Abel statistical quasi Cauchy sequences
Filomat, 2019 In this paper, we investigate the concept of Abel statistical quasi Cauchy sequences. A real function f is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence (?k) of point in R is called Abel statistically quasi Cauchy if limx?1-(1-x) ?k:|??k|?? xk = 0 for every ?
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Advanced Science, EarlyView.This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
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Variations on lacunary statistical quasi cauchy sequences [PDF]
AIP Conference Proceedings, 2019 In this paper, we introduce a concept of lacunary statistically p-quasi-Cauchyness of a real sequence in the sense that a sequence (?k) is lacunary statistically p-quasi-Cauchy if limr?? 1 hr |{k ? Ir : |?k+p ? ?k | ? ?}| = 0 for each ? > 0. A function f is called lacunary statistically p-ward continuous on a subset A of the set of real numbers R if it
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Upward and downward statistical continuities [PDF]
, 2013 A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set of real numbers, is statistically upward continuous if it preserves statistically upward half quasi-Cauchy sequences, is statistically downward continuous if it preserves ...
Cakalli, Huseyin
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