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Unbounded Order Convergence in Ordered Vector Spaces
Journal of MathematicsWe consider an ordered vector space X. We define the net xα⊆X to be unbounded order convergent to x (denoted as xα⟶uox). This means that for every 0≤y∈X, there exists a net yβ (potentially over a different index set) such that yβ↓0, and for every β ...
Masoumeh Ebrahimzadeh +1 more
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An AHP-ME-IOWA Model for Assessing National Space Technology Scientific and Technological Strength: A Case Study of the United States [PDF]
EntropySpace technology, a frontier of global scientific innovation, is crucial for competitive edges and national tech innovation. Amid intensified international competition and rapid technological change, scientifically evaluating a country’s Scientific and ...
Yingying Chen +3 more
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Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]
Journal of Hyperstructures, 2023 Let X be a Hausdor topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
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Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces
Mathematics, 2021 In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true.
Çetin Cemal Özeken, Cüneyt Çevik
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Proceedings of the American Mathematical Society, 1952 Simple consequences of these assumptions are: x>y implies x+z >y+z;x>y implies Xx>Xy for real positive scalarsX; x > 0 if and only if 0>-x. An important class of examples of such V's is due to R. Thrall ; we shall call these spaces lexicographic function spaces (LFS), defining them as follows: Let T be any simply ordered set ; let / be any real-valued ...
Hausner, M., Wendel, J. G.
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Semi-order Continuous Operators on Vector Spaces [PDF]
Bulletin of the Iranian Mathematical Society, 2021 In this manuscript, we will study both $\tilde{o}$-convergence in (partially) ordered vector spaces and a kind of convergence in a vector space $V$. A vector space $V$ is called semi-order vector space (in short semi-order space), if there exist an ordered vector space $W$ and an operator $T$ from $V$ into $W$.
Matin, Mina +2 more
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A Partial Order OWA Operator for Solving the OWA Weighing Dilemma
IEEE Access, 2023 Prior weights are necessary for the application of ordered weighted averaging (OWA) operators, but obtaining them is expensive and contentious, which restricts the application of operators.
Mingyu Li, Ruize Xu, Qinghua Chen
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Bochner integrals in ordered vector spaces [PDF]
Positivity, 2016 We present a natural way to cover an Archimedean directed ordered vector space E by Banach spaces and extend the notion of Bochner integrability to functions with values in E. The resulting set of integrable functions is an Archimedean directed ordered vector space and the integral is an order preserving map.
van Rooij, Arnoud, van Zuijlen, Willem
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Improving Ship Detection Based on Decision Tree Classification for High Frequency Surface Wave Radar
Journal of Marine Science and Engineering, 2023 The traditional constant false alarm rate (CFAR) method, with fixed parameter settings and single noise background calculation, is unable to intelligently catch the current detection background.
Zhiqing Yang +5 more
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Independence, infinite dimension, and operators
Moroccan Journal of Pure and Applied Analysis, 2023 In [Appl. Comput. Harmon. Anal., 46 (2019), 664673] O. Christensen and M. Hasannasab observed that assuming the existence of an operator T sending en to en+1 for all n ∈ ℕ (where (en)n∈ℕ is a sequence of vectors) guarantees that (en)n∈ℕ is linearly ...
Idrissi Nizar El, Kabbaj Samir
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