Search Results - measures and integrals with values in ordered spaces

Order integrals by de Jeu, Marcel, Jiang, Xingni

“…We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone of a partially ordered vector space E…”
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Melting Probability Measure With OWA Operator to Generate Fuzzy Measure: The Crescent Method by Jin, LeSheng, Mesiar, Radko, Yager, Ronald R.

“…Given probability information, i.e., a probability measure m with a random variable x on the outcome space N , the expected value of that random variable is commonly used as some valuable evaluation result for further decision making…”
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Leggett–Williams type theorems with applications to nonlinear differential and integral equations by Bugajewski, Dariusz, Kasprzak, Piotr

“… As applications of these results we prove a few existence results concerning positive solutions to Hammerstein integral equations or to a two-point boundary value problem…”
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Integrals for functions with values in a partially ordered vector space by van Rooij, A. C. M., van Zuijlen, W. B.

“…We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions…”
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Riesz representation theorems for positive linear operators by de Jeu, Marcel, Jiang, Xingni

“… . The corresponding integrals are order integrals. We give explicit formulas for the values of the representing measures at open and at compact subsets of  X…”
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Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces by Feng, Meiqiang, Ji, Dehong, Ge, Weigao

“…This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions…”
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Existence of solutions for n-dimensional fractional order hybrid BVPs with integral boundary conditions by an application of n-fixed point theorem by Prasad, K. Rajendra, Khuddush, Mahammad, Leela, D.

“… The key tool used in our study is the concept of n -fixed point theorems for contractive type mappings in partially ordered complete metric spaces…”
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Basic type dominance and its use in measure-modeled uncertainty in decision making by Yager, Ronald R.

“…We introduce the concept of a fuzzy measure μ on a finite space X and discuss its use in providing information about the value of an uncertain variable V…”
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Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces by Zhang, Xuemei, Feng, Meiqiang, Ge, Weigao

“…This paper investigates the multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions in ordered Banach spaces…”
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Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces by Zhao, Junfang, Wang, Peiguang, Ge, Weigao

“…This paper investigates the existence, nonexistence, and multiplicity of positive solutions for a class of nonlinear boundary-value problems of third order differential equations with integral…”
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Existence of positive solutions of third-order boundary value problems with integral boundary conditions in Banach spaces by Fu, Dan, Ding, Wei

“…This paper deals with positive solutions of a third-order differential equation in ordered Banach spaces, ( φ ( − x ″ ( t ) ) ) ′ = f ( t , x…”
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Order Integrals by de Jeu, Marcel, Jiang, Xingni

“…We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone of a partially ordered vector space \(E…”
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A coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space with applications by Dhage, Bapurao C.

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Integrals for functions with values in a partially ordered vector space by Arnoud van Rooij, Willem van Zuijlen

“…We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions…”
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Positive solutions for Neumann boundary value problems of nonlinear second-order integro-differential equations in ordered Banach spaces by Yang, He, Liang, Yue

“… , u ′ ( 0 ) = u ′ ( 1 ) = θ in an ordered Banach space E with positive cone K , where M…”
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Positive operators à la aumann-shapley on spaces of fonctions on D-lattices by AVALLONE, Anna, BASILE, Achille, VITOLO, Paolo

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Advances in ultrametric analysis : 12th International Conference p-adic Functional Analysis, July 2-6, 2012, University of Manitoba, Winnipeg, Canada by International Conference on P-adic Functional Analysis, Shamseddine, Khodr

“… of Banach spaces over valued fields, integral representations of continuous linear maps on $p…”
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Riesz representation theorems for positive linear operators by de Jeu, Marcel, Jiang, Xingni

“…\); the corresponding integrals are order integrals. We give explicit formulas for the values of the representing measures at open and at compact subsets of \(X…”
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Randomized Polynomial Lattice Rules for Multivariate Integration and Simulation by Lemieux, Christiane, L'Ecuyer, Pierre

“…Lattice rules are among the best methods to estimate integrals in a large number of dimensions…”
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A family of measures for best top- n class-selective decision rules by Le Capitaine, Hoel, Frélicot, Carl

“…When classes strongly overlap in the feature space, or when some classes are not known in advance, the performance of a classifier heavily decreases…”
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