Results 41 to 50 of about 173,242 (326)

Optimal approximate fixed point results in locally convex spaces

, 2012
Let $C$ be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps $f\colon C\to\bar{C}$. First we prove that if $f(C)$ is totally bounded, then it has an approximate fixed point net.
Arino, Barroso, Barroso, Barroso, C.S. Barroso, Fan, Gajek, Hadžić, Hadžić, Hazewinkel, Himmelberg, Idzik, Idzik, Klee, Knaster, Lin, M.P. Rebouças, O.F.K. Kalenda, Park, Park   +19 more
core   +1 more source

Soft and Stiff 3D Microstructures by Step‐Growth Photopolymerization Using a Single Photoresin and Multi‐Photon Laser Printing

Advanced Functional Materials, EarlyView.
An additive and initiator‐free photoresin based on a prepolymer decorated with photoreactive step‐growth units as crosslinkers allows for the fabrication of 3D microstructures with strongly disparate mechanical properties ranging from stiff to soft. Abstract Manufacturing three‐dimensional (3D) microstructures with multi‐material properties via two ...
Tugce Nur Eren, Jiajie Liang, Jonathan Ludwig Günter Schneider, Martin Wegener, Jens Bauer, Katharina Ehrmann, Florian Feist, Christopher Barner‐Kowollik   +7 more
wiley   +1 more source

Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces

Journal of Applied Mathematics, 2014
We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
doaj   +1 more source

Uniformly convex and strictly convex Orlicz spaces [PDF]

AIP Conference Proceedings, 2016
In this paper we define the new norm of Orlicz spaces on ℝn through a multiplication operator on an old Orlicz spaces. We obtain some necessary and sufficient conditions that the new norm to be a uniformly convex and strictly convex spaces.
openaire   +2 more sources

On the probabilistic continuous complexity conjecture [PDF]

, 2012
In this paper we prove the probabilistic continuous complexity conjecture. In continuous complexity theory, this states that the complexity of solving a continuous problem with probability approaching 1 converges (in this limit) to the complexity of ...
Kon, Mark A.
core  

Side‐Chains Engineered Self‐Assembly of Ortho‐Benzodipyrrole‐Based Acceptors: Comprehensive Exploration of Structure‐Interface‐Photovoltaics Correlations

Advanced Functional Materials, EarlyView.
The side‐chain configuration in the bay region of C‐shaped ortho‐benzodipyrrole‐based non‐fullerene acceptors plays a crucial role in their self‐assembly, single‐crystal structures, and optoelectronic properties. The closely correlated molecular structure and performance underscore the importance of minimizing A–A self‐aggregation and enhancing D–A ...
Yung‐Jing Xue, Chen‐Yu Chang, Chieh‐Ming Hung, Chi‐Chun Tseng, Je‐Wei Chang, Chun‐Jen Su, Chia‐Lin Tsai, Han‐Cheng Lu, Kuo‐Hsiu Huang, Kuei‐Yu Tai, Chien‐Yi Ku, Chia‐Shing Wu, Su‐Ying Chien, Shang‐Da Yang, Bing‐Huang Jiang, Chih‐Ping Chen, Pi‐Tai Chou, U‐Ser Jeng, Yen‐Ju Cheng   +18 more
wiley   +1 more source

Solving 1D Conservation Laws Using Pontryagin's Minimum Principle [PDF]

, 2016
This paper discusses a connection between scalar convex conservation laws and Pontryagin's minimum principle. For flux functions for which an associated optimal control problem can be found, a minimum value solution of the conservation law is proposed ...
Kang, Wei, Wilcox, Lucas C.
core   +2 more sources

Uniformly convex operators and martingale type

, 2002
The concept of uniform convexity of a Banach space was generalized to linear operators between Banach spaces and studied by Beauzamy [1976]. Under this generalization, a Banach space X is uniformly convex if and only if its identity map I_X is.
Wenzel, J
core   +1 more source

Chemo‐Mechanical Coupling in Hydrogels: Dynamics in the Diffusion‐Limited Regime

Advanced Functional Materials, EarlyView.
A time‐dependent continuum model is developed to capture the transient swelling dynamics of chemo‐mechanical hydrogels. By coupling chemical reactions, solvent transport, and polymer deformation, volume phase transitions, reaction kinetics, and transient mechanical instabilities are analyzed.
Yao Xiong, Aaveg Aggarwal, Monica Olvera de la Cruz   +2 more
wiley   +1 more source

Uniformly holomorphic continuation in locally convex spaces

Journal of Mathematical Analysis and Applications, 1987
Die vorhandene Theorie der Holomorphiehüllen von Bereichen X über einem komplexen normierten Raum E wird formal übertragen auf beliebige Hausdorffsche lokalkonvexe Räume bzgl. gewisser spezieller Bereiche X über E und gewisser spezieller holomorpher Funktionen auf X.
M.Carmelina F Zaine, Otilia W. Paques
openaire   +2 more sources