Results 101 to 110 of about 174,945 (344)

Continuity of extremal elements in uniformly convex spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 2009
In this paper, we study the problem of finding the extremal element for a linear functional over a uniformly convex Banach space. We show that a unique extremal element exists and depends continuously on the linear functional, and vice versa. Using this, we simplify and clarify Ryabykh's proof that for any linear functional on a uniformly convex ...
openaire   +2 more sources

Sculpting the Future of Bone: The Evolution of Absorbable Materials in Orthopedics

open access: yesAdvanced Materials, EarlyView.
This review summarizes the current status of polymeric, ceramic, and metallic absorbable materials in orthopedic applications, and highlights several innovative strategies designed to enhance mechanical performance, control degradation, and promote bioactivity. We also discuss the progress and translational potential of absorbable materials in treating
Zhao Wang   +13 more
wiley   +1 more source

Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings

open access: yesAbstract and Applied Analysis, 2009
We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space.
Watcharaporn Cholamjiak, Suthep Suantai
doaj   +1 more source

Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials

open access: yesAdvanced Materials, EarlyView.
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella   +3 more
wiley   +1 more source

Colloid‐Mediated Synthesis of Hierarchically Porous Amorphous Catalyst for Durable Industrial‐Scale Water Electrolysis

open access: yesAdvanced Materials, EarlyView.
A colloid‐mediated electroless plating (CMEP) strategy is proposed to fabricate hierarchically porous, amorphous Fe‐doped NiWB electrocatalysts under ambient conditions. The in situ formation of Fe‐W‐O colloidal species guides the formation of robust, porous catalyst layers with excellent mass transfer and durability, sustaining 500 mA cm−2 for 2000 h,
Yu Liao   +8 more
wiley   +1 more source

Best proximity point for weak cyclic Kannan type $F-$contraction map and cyclic Chatterjea type $F-$contraction map

open access: yesRatio Mathematica
In this paper, we introduce an innovative category of contractions termed "cyclic Chatterjea type $F-$contraction" and "weak cyclic Kannan type $F-$contraction." Subsequently, we establish a theorem for determining the best proximity point in a uniformly
Satyaj Tiwari, Monika Dewangan
doaj   +1 more source

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