Results 21 to 30 of about 305,204 (290)
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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Ordered Vector Valued Double Sequence Spaces
Fasciculi Mathematici, 2015 AbstractIn this paper we have introduced an order relation on convergent double sequences and have constructed an ordered vector space, Riesz space, order complete vector space in case of double sequences. We have verified the Archimedean property.
Dey, R., Das, N. R., Tripathy, B. C.
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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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A short note on band projections in partially ordered vector spaces [PDF]
Indagationes mathematicae, 2018 Consider an Archimedean partially ordered vector space $X$ with generating cone (or, more generally, a pre-Riesz space $X$). Let $P$ be a linear projection on $X$ such that both $P$ and its complementary projection $I - P$ are positive; we prove that the
Jochen Glück
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Order preserving functions on ordered topological vector spaces [PDF]
Bulletin of the Australian Mathematical Society, 1999 In this paper we prove the existence of continuous order preserving functions on ordered topological vector spaces in an infinite-dimensional setting. In a certain class of topological vector spaces we prove the existence of topologies for which every continuous total preorder has a continuous order preserving representation and show that the Mackey ...
Candeal, J. C. +2 more
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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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An order topology in ordered topological vector spaces [PDF]
Transactions of the American Mathematical Society, 1976 An order topology Ω \Omega that can be defined on any partially-ordered space has as its closed sets those that contain the (o)-limits of all their (o)-convergent nets. In this paper we study the situation in which a topological vector space with a Schauder basis is ordered by the basis cone. In a Fréchet space (
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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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Vector spaces with an order unit [PDF]
Indiana University Mathematics Journal, 2009 38 pages, uses XY-pic, Version 2 comments: minor typos corrected.; Version 3 Comments: minor typos corrected; Version 4 Comments: minor typos corrected, hypothesis of Archimedean added to Theorem 4.22, To appear in Indiana Univ.
Paulsen, Vern, Tomforde, Mark
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Coupled fixed point results for new classes of functions on ordered vector metric space
Acta Mathematica HungaricaThe contraction condition in the Banach contraction principle forces a function to be continuous. Many authors overcome this obligation and weaken the hypotheses via metric spaces endowed with a partial order. In this paper, we present some coupled fixed
C. Çevik, Ç. C. Özeken
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