Results 21 to 30 of about 509 (167)

Carathéodory–Fejér interpolation in locally convex topological vector spaces

Linear Algebra and its Applications, 2009
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Alpay, Daniel, Timoshenko, Olga, Volok, Dan   +2 more
openaire   +2 more sources

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, Sergio Rosales Canoy, Jr.   +1 more
openaire   +2 more sources

Webbed spaces, double sequences, and the Macke convergence condition

International Journal of Mathematics and Mathematical Sciences, 1999
In [3], Gilsdorf proved, for locally convex spaces, that every sequentially webbed space satisfies the Mackey convergence condition. In the more general frame of topological vector spaces, this theorem and its inverse are studied. The techniques used are
Armando García-Martínez
doaj   +1 more source

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

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

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

Automated generative process synthesis via transformer‐based dual‐loop simulation and optimization

AIChE Journal, EarlyView.
Abstract This study presents a novel framework for automated generative process synthesis, addressing the complexity of simultaneously optimizing discrete topologies and continuous operating variables. To overcome conventional superstructure limitations, we propose a dual‐loop architecture integrating generative transformers with rigorous process ...
Yeong Woo Son, Chan Kim, Ji Hun Pak, Hain Lee, Jong Min Lee   +4 more
wiley   +1 more source