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Piecewise Linear Vector Optimization Problems on Locally Convex Hausdorff Topological Vector Spaces [PDF]

open access: greenActa Mathematica Vietnamica, 2017
Piecewise linear vector optimization problems in the locally convex Hausdorff topological vector space 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 ...
Nguyen Ngoc Luan
semanticscholar   +3 more sources

Denjoy-type Integrals in Locally Convex Topological Vector Space

open access: diamondEuropean 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).
Rodolfo Maza, Sergio Rosales Canoy
openalex   +3 more sources

Non-Linear Inner Structure of Topological Vector Spaces

open access: yesMathematics, 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   +2 more sources

Fixed point theorems for some generalized contractive mappings over a locally convex topological vector space [PDF]

open access: greenSurveys in Mathematics and its Applications, 2021
In this paper we prove some useful fixed point theorems and common fixed point theorems for a class of non-linear mappings acting on locally convex topological vector space with supporting ...
Sayantan Panja   +2 more
doaj   +1 more source

On Locally Convex Topological Vector Space Valued Paranormed Function Space Defined by Orlicz Function

open access: diamond, 2014
The aim of this paper is to introduce and study a new class (l ∞ (X , Y , Φ, ξ, w , L ), H U ) of locally convex space Y- valued functions using Orlicz function Φ as a generalization of some of the well known sequence spaces and function spaces.
NP Pahari
openalex   +3 more sources

Asymptotic Almost Periodic Functions with Range in a Topological Vector Space

open access: yesJournal of Function Spaces and Applications, 2013
The notion of asymptotic almost periodicity was …first introduced by Fréchet in 1941 in the case of …finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several ...
Liaqat Ali Khan, Saud M. Alsulami
doaj   +2 more sources

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