Results 31 to 40 of about 38,134 (191)

Approximate weakly efficient solutions of set-valued vector equilibrium problems

Journal of Inequalities and Applications, 2018
In this paper, we introduce a new kind of approximate weakly efficient solutions to the set-valued vector equilibrium problems with constraints in locally convex Hausdorff topological vector spaces; then we discuss a relationship between the weakly ...
Jian Chen, Yihong Xu, Ke Zhang
doaj   +1 more source

Fixed point theorems and applications in p-vector spaces

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued mappings and compact continuous (single-valued) mappings, and related applications for useful tools in nonlinear analysis by applying the best approximation ...
George Xianzhi Yuan
doaj   +1 more source

Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application

, 2017
The purpose of this paper is to present the concept of multivariate contraction mapping in a locally convex topological vector spaces and to prove the multivariate contraction mapping principle in such spaces.
Yongchun Xu, Jinyu Guan, Yanxia Tang, Yongfu Su   +3 more
semanticscholar   +1 more source

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir, Dahmen, Rafael, Schmeding, Alexander   +2 more
core   +3 more sources

Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps

Advances in Nonlinear Analysis, 2018
We give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces.
Altwaijry Najla, Chebbi Souhail, Hammami Hakim, Gourdel Pascal   +3 more
doaj   +1 more source

Barrelled Weakly Köthe–Orlicz Summable Sequence Spaces

Mathematics, 2023
Let E be a Hausdorff locally convex space. We investigate the space Λφ[E] of weakly Köthe–Orlicz summable sequences in E with respect to an Orlicz function φ and a perfect sequence space Λ.
Issam Aboutaib, Janusz Brzdęk, Lahbib Oubbi   +2 more
doaj   +1 more source

Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets

Journal of Inequalities and Applications, 2010
We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex ...
Cho YeolJe, Chowdhury MohammadSR
doaj   +2 more sources

Tensor products in the category of topological vector spaces are not associative [PDF]

, 2003
We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces.
Glockner, Helge
core   +3 more sources

Arhangel'ski\u{\i} sheaf amalgamations in topological groups

, 2016
We consider amalgamation properties of convergent sequences in topological groups and topological vector spaces. The main result of this paper is that, for arbitrary topological groups, Nyikos's property $\alpha_{1.5}$ is equivalent to Arhangel'ski\u{\i}'
Tsaban, Boaz, Zdomskyy, Lyubomyr
core   +1 more source

A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces

Mathematics, 2020
A simple theorem is presented that automatically generates the topological transversality theorem and Leray−Schauder alternatives for weakly upper semicontinuous, weakly compact maps. An application is given to illustrate our results.
Donal O’Regan
doaj   +1 more source