Results 1 to 10 of about 450 (156)
On Bishop–Phelps and Krein–Milman Properties
Mathematics, 2023 A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say that ...
Francisco Javier García-Pacheco
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On Sub Convexlike Optimization Problems
Mathematics, 2023 In this paper, we show that the sub convexlikeness and subconvexlikeness defined by V. Jeyakumar are equivalent in locally convex topological spaces. We also deal with set-valued vector optimization problems and obtained vector saddle-point theorems and ...
Renying Zeng
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Axioms, 2022 We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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Non-Linear Inner Structure of Topological Vector Spaces
Mathematics, 2021 Inner structure appeared in the literature of topological vector spaces as a tool to characterize the extremal structure of convex sets. For instance, in recent years, inner structure has been used to provide a solution to The Faceless Problem and to ...
Francisco Javier García-Pacheco +3 more
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Nonlinear analysis by applying best approximation method in p-vector spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 It is known that the class of p-vector spaces ( 0 < p ≤ 1 ) $(0 < p \leq 1)$ is an important generalization of the usual norm spaces with rich topological and geometrical structure, but most tools and general principles with nature in nonlinearity have ...
George Xianzhi Yuan
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Positive definite functions and dual pairs of locally convex spaces [PDF]
Opuscula Mathematica, 2018 Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive
Daniel Alpay, Saak Gabriyelyan
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Denjoy-type Integrals in Locally Convex Topological Vector Space
European Journal of Pure and Applied Mathematics, 2021 In this paper, we introduce AC* and ACG*-type properties and then, using theseconditions along with other concepts, define two Denjoy-type integrals of a function with values in a locally convex topological vector space (LCTVS). We show, among others, that these newly defined integrals are included in the SH integral, a stronger version of the Henstock
Rodolfo Erodias Maza +1 more
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Fixed points and selections of set-valued maps on spaces with convexity
International Journal of Mathematics and Mathematical Sciences, 2000 We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex
Peter Saveliev
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Approximate Benson efficient solutions for set-valued equilibrium problems
Journal of Inequalities and Applications, 2020 In locally convex Hausdorff topological vector spaces, the approximate Benson efficient solution is proposed for set-valued equilibrium problems and its relationship to the Benson efficient solution is discussed.
Shasha Hu, Yihong Xu, Zhichao Niu
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