Results 91 to 100 of about 620,022 (302)

Extragradient Method for Fixed Points in CAT(0) Spaces

Journal of Function Spaces, 2021
This paper is dedicated to construct a viscosity extragradient algorithm for finding fixed points in a CAT(0) space. The mappings we consider are nonexpansive. Strong convergence of the algorithm is obtained.
Yu-Pei Lv, Khurram Shabbir, Sundus Shahzeen, Farman Ali, Jeevan Kafle   +4 more
doaj   +1 more source

Poly(1,4‐anthraquinone) as an Organic Electrode Material: Interplay of the Electronic and Structural Properties due to the Unusual Lone‐Pair‐π Conjugation

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
wiley   +1 more source

Shy couplings, $\operatorname{CAT} ({0})$ spaces, and the lion and man [PDF]

The Annals of Probability, 2013
Two random processes X and Y on a metric space are said to be $\varepsilon$-shy coupled if there is positive probability of them staying at least a positive distance $\varepsilon$ apart from each other forever. Interest in the literature centres on nonexistence results subject to topological and geometric conditions; motivation arises from the desire ...
Bramson, Maury, Burdzy, Krzysztof, Kendall, Wilfrid   +2 more
openaire   +5 more sources

Exploring Dipolar Dynamics and Ionic Transport in Metal‐Organic Frameworks: Experimental and Theoretical Insights

Advanced Functional Materials, EarlyView.
In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund, Arthur Schulz, Peter Lunkenheimer, Maryana Kraft, Thomas Bergler, Harald Oberhofer, Dirk Volkmer   +6 more
wiley   +1 more source

On the strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings on CAT(0) space

Karpatsʹkì Matematičnì Publìkacìï, 2013
In this paper, we give the strong and $\Delta$-convergence theorems of the modified $S$-iteration and the modified two-step iteration processes for total asymptotically nonexpansive mappings on a CAT(0) space.
M. Basarir, A. Sahin
doaj   +1 more source

Hyperbolic quasi-geodesics in CAT(0) spaces [PDF]

Geometriae Dedicata, 2013
We prove that in CAT(0) spaces a quasi-geodesic is Morse if and only if it is contracting. Specifically, in our main theorem we prove that for $ $ a quasi-geodesic in a CAT(0) space X, the following four statements are equivalent: (i) $ $ is Morse, (ii) $ $ is (b,c)--contracting, (iii), $ $ is strongly contracting, and (iv) in every asymptotic cone
openaire   +3 more sources

In Situ Formation of a Melt‐Solid Interface Toward Stable Oxygen Reduction in Protonic Ceramic Fuel Cells

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
Protonic ceramic fuel cells offer a promising route to generate power efficiently but face critical challenges in achieving industrially viable activity and stability at their cathodes in CO2‐containing air. This report proposes a new cathode material design strategy to enable the cathode to be both catalytically active and CO2 tolerant through the ...
Desheng Feng, Mengran Li, Vanessa K. Peterson, Rijia Lin, Anita D'Angelo, Olexandra Marenych, Anya Yago, Dominique Appadoo, Tianjiu Zhu, Muhammad Yazid Bin Zulkifli, Shuai Gao, Yuming Wu, Xiaohe Tian, Xiaoyang Du, Zhonghua Zhu   +14 more
wiley   +1 more source

Deciphering the Origin of Higher Shell Coordination on Single Iron Catalysts for Resilient Modulating Persulfate Oxidation Into Singlet Oxygen Pathway

Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.
This study reveals that higher shell S coordination can effectively modulate the spin state of FeN4 site via long‐range electronic interactions, giving rise to the oriented generation of singlet oxygen from peroxymonosulfate activation. Abstract Precise manipulation of coordination structure of single‐atom sites and establishment of schematic ...
Liang Zhang, Kai Cheng, Zhizhi Yang, Ye Zhang, Shiro Kubuki, Paul A. Bingham, Yang‐Chun Yong, Bofan Zhang, Xiaoguang Duan   +8 more
wiley   +1 more source

Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces

Fixed Point Theory and Applications, 2011
We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong, Dhompongsa Sompong   +1 more
doaj  

Approximations of Fixed Points in the Hadamard Metric Space CAT_p(0)

Mathematics, 2019
In this paper, we consider the recently introduced C A T p ( 0 ) , where the comparison triangles belong to ℓ p , for p ≥ 2 . We first establish an inequality in these nonlinear metric spaces.
Mostafa Bachar, Mohamed Amine Khamsi
doaj   +1 more source