Topological properties and matrix transformations of certain ordered generalized sequence spaces
International Journal of Mathematics and Mathematical Sciences, 1995 In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space (X,τ) and a scalar valued sequence space λ, on the vector valued sequence space λ(X) which is formed and ...
Manjul Gupta, Kalika Kaushal
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Topological aspects in vector optimization problems
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
P. I. Kogut, R. Manzo, I. V. Nechay
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On Archimedean ordered vector spaces and a characterization of simplices [PDF]
Proceedings of the American Mathematical Society, 1992 We show that a convex subset K K of a linear space is a simplex if and only if it is line compact and every nonempty ...
Gierz, Gerhard, Shekhtman, Boris
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Infinitary properties of valued and ordered vector spaces [PDF]
Journal of Symbolic Logic, 1999 §1. Introduction.The motivation of this work comes from two different directions: infinite abelian groups, and ordered algebraic structures. A challenging problem in both cases is that of classification. In the first case, it is known for example (cf.
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STATISTICALLY ?-BOUNDED OPERATORS ON ORDERED TOPOLOGICAL VECTOR SPACES
, 2022 In this paper, we introduce statistical bounded sets on topological vector space. Also, we give the three notions of bounded operators from topological vector spaces to ordered topological vector spaces.
Aydin, Abdullah, Cinar, Muhammed
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Remarks on the Paper ``Coupled Fixed Point Theorems for Single-Valued Operators in b-Metric Spaces'' [PDF]
Mathematics Interdisciplinary Research, 2017 In this paper, we improve some recent coupled fixed point results for single-valued operators in the framework of ordered b-metric spaces established by Bota et al. [M-F. Bota, A. Petrusel, G. Petrusel and B.
Zoran Kadelburg +2 more
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Helical spin dynamics in commensurate magnets: A study on brochantite, Cu_{4}SO_{4}(OH)_{6}
Physical Review Research, 2023 We report the direct observation of a commensurate-ordered antiferromagnetic (AFM) state but incommensurate helical spin dynamics in the natural mineral brochantite Cu_{4}SO_{4}(OH)_{6} through neutron diffraction and neutron spectroscopy measurements ...
S. E. Nikitin +10 more
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Subdifferential calculus for invariant linear ordered vector space-valued operators and applications [PDF]
, 2016 We give a direct proof of sandwich-type theorems for linear invariant partially ordered vector space operators in the setting of convexity. As consequences, we deduce equivalence results between sandwich, Hahn-Banach, separation and Krein-type extension ...
Boccuto, Antonio
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Vector Equilibrium Problems—A Unified Approach and Applications
MathematicsWe present existing results and properties for the solutions of some vector equilibrium problems with set-valued functions in the case of a vector space ordered by a cone with some “interiority” properties.
Cristina Stamate
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PREŠIĆ TYPE OPERATORS ON ORDERED VECTOR METRIC SPACES
, 2021 In this paper we present a fixed point theorem for order preserving Presic type operators on ordered vector metric spaces. This result extends many results in the literature obtained for Presic type operators both on metric spaces and partially ordered ...
Özeken, Çetin Cemal, Çevik, Cüneyt
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