Results 1 to 10 of about 509 (167)
Piecewise Linear Vector Optimization Problems on Locally Convex Hausdorff Topological Vector Spaces [PDF]
Acta Mathematica Vietnamica, 2017 Piecewise linear vector optimization problems in a locally convex Hausdorff topological vector spaces setting are considered in this paper. The efficient solution set of these problems are shown to be the unions of finitely many semi-closed generalized polyhedral convex sets.
Nguyen Ngoc Luan
exaly +3 more sources
Generalized quasi-variational inequalities in locally convex topological vector spaces
Journal of Mathematical Analysis and Applications, 1985 Let E be a Hausdorff topological vector space and X an arbitrary nonempty subset of E. Given a point-to-set map S: \(X\to 2^ X\) and a point-to-set map T: \(X\to 2^{E'}\) (where E' is the dual space of E with the pairing (w,x) for \(w\in E'\) and \(x\in X)\), the generalized quasivariational inequality problem (GQVI) is to find a point \(y^*\in S(y^*)\)
Kok-Keong Tan, Mau-Hsiang Shih
exaly +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Pseudo-convex completion of locally convex topological vector spaces
Mathematische Annalen, 1974 exaly +3 more sources
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
doaj +1 more source