Results 21 to 30 of about 1,162,739 (282)
Selection Properties and Set-Valued Young Integrals of Set-Valued Functions [PDF]
AbstractThe paper deals with some selection properties of set-valued functions and different types of set-valued integrals of a Young type. Such integrals are considered for classes of Hölder continuous or with bounded Young p-variation set-valued functions.
Mariusz Michta, Jerzy Motyl
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Set-Valued SU-Type Fixed Point Theorems via Gauge Function with Applications
In this article, we have designed two existence of fixed point theorems which are regarding to set-valued SU-type θη-contraction and Γα-contraction via gauge function in the setting of metric spaces.
Amjad Ali +5 more
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Hypersoft set is an emerging field of study that is meant to address the insufficiency and the limitation of existing soft-set-like models regarding the consideration and the entitlement of multi-argument approximate function.
Atiqe Ur Rahman +3 more
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Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals [PDF]
AbstractThe paper deals with some properties of set-valued functions having bounded Riesz p-variation. Set-valued integrals of Young type for such multifunctions are introduced. Selection results and properties of such set-valued integrals are discussed.
Mariusz Michta, Jerzy Motyl
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Quantitative Stability of Optimization Problems with Stochastic Constraints
In this paper, we consider optimization problems with stochastic constraints. We derive quantitative stability results for the optimal value function, the optimal solution set and the feasible solution set of optimization models in which the underlying ...
Wei Ouyang, Kui Mei
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Integration of compact set-valued functions [PDF]
provided by applying the McShane ^-integral. This integral is a Riemann-type integral and includes the Bochner, Lebesgue and other types of integrals, and by using Riemann sums it avoids deep measure theory. Thus, the ^-integral of set-valued functions contains other types of integrals such as the Hukuhara and Debreu integrals. Generalizations of known
Artstein, Zvi, Burns, John A.
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Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations [PDF]
Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a Abelian group uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*} f(x+y)+f(x-y)+g(x+y)&=2f(x)+
Elham Mohammadi +2 more
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Distance-Based Knowledge Measure and Entropy for Interval-Valued Intuitionistic Fuzzy Sets
The knowledge measure or uncertainty measure for constructing interval-valued intuitionistic fuzzy sets has attracted much attention. However, many uncertainty measures are measured by the entropy of interval-valued intuitionistic fuzzy sets, which ...
Chunfeng Suo, Xuanchen Li, Yongming Li
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Error bounds for mixed set-valued vector inverse quasi-variational inequalities
The purpose of this paper is to introduce and study the mixed set-valued vector inverse quasi-variational inequality problems (MSVIQVIPs) and to obtain error bounds for this kind of MSVIQVIP in terms of the residual gap function, the regularized gap ...
Shih-sen Chang +4 more
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This paper provides a vector-valued level set-based topology optimization method for multiple materials. The proposed method is characterized by a perfectly symmetric representation of multi-material by a vector valued level set function, which lowers ...
Masaki NODA +2 more
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