Results 1 to 10 of about 312,213 (278)
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.
A. V. Rooij, W. V. Zuijlen
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An algebraic ordered extension of vector space
Transactions of A Razmadze Mathematical Institute, 2018 In this paper we have discussed an algebraic ordered extension of vector space. This new structure comprises a semigroup structure, a scalar multiplication and a compatible partial order.
Sandip Jana
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Integrals for functions with values in a partially ordered vector space. [PDF]
Positivity (Dordr), 2016 We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the
van Rooij ACM, van Zuijlen WB.
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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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Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces [PDF]
Results in MathematicsIt is proved that: each collectively order continuous set of operators from an Archimedean ordered vector space with a generating cone to an ordered vector space is collectively order bounded; and each collectively order-to-norm bounded set of operators ...
Nazife ERKURŞUN Ozcan +1 more
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ON CERTAIN CONTRACTION MAPPINGS IN A PARTIALLY ORDERED VECTOR SPACE [PDF]
Proceedings of the American Mathematical Society, 1963 G. Birkhoff [1] and H. Samelson [4] have shown that a means of solving problems concerning the existence and uniqueness of eigenvectors of positive operators is given by introducing a suitable metric on a subset of the cone with respect to which the operators are contractions.
A. C. Thompson
semanticscholar +3 more sources
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 ...
M. Hausner, J. G. Wendel
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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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Linear Algebra and its Applications, 2015 Abstract This work was motivated by Problem 49-4 from “IMAGE” Issue Number 49, p. 52, Fall 2012 which was proposed by Rajesh Pereira. Seeking the solution to the problem led to the discovery of some interesting results on ordered vector spaces. It is shown that up to an isomorphism, there is only one order on a finite dimensional real vector space ...
R. Hemasinha, J. Weaver
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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 +2 more
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