Results 121 to 130 of about 84,796 (282)

Common fixed point theorems for compatible and weakly compatible mappings

, 2000
The authors prove a common fixed points theorem for a pair of generalized contraction self-maps and a pair of set-valued mappings on a complete metric space. They are using notions due to \textit{G. Jungck} [Int. J. Math. Math. Sci. 11, No. 2, 285-288 (1988; Zbl 0647.54035)].
Elamrani, M., Mehdaoui, B.
openaire   +2 more sources

Some Common Fixed Point Theorems for Weakly Compatible Mappings in Metric Spaces [PDF]

Fixed Point Theory and Applications, 2009
AbstractWe establish a common fixed point theorem for weakly compatible mappings generalizing a result of Khan and Kubiaczyk (1988). Also, an example is given to support our generalization. We also prove common fixed point theorems for weakly compatible mappings in metric and compact metric spaces.
openaire   +4 more sources

Bio‐Orthogonally Crosslinked Supramolecular Polymer Bottlebrush Hydrogels for Long‐Term 3D Cell Culture

Advanced Functional Materials, EarlyView.
Fibrous benzenetrispeptide (BTP) hydrogels, fabricated via strain‐promoted azide‐alkyne cycloaddition (SPAAC) crosslinking, form robust, bioinert networks. These hydrogels can support 3D cell culture, where cell viability and colony growth depend on the fiber content.
Ceren C. Pihlamagi, David Pretzel, Peer Nölte, Kourosh Rezaei, Ulrich S. Schubert, Johannes C. Brendel   +5 more
wiley   +1 more source

Spatially Tailorable Liquid Crystalline Elastomer Alignment During Digital Light Process 3D Printing

Advanced Functional Materials, EarlyView.
Here, we report the fabrication of 3D printable liquid crystalline elastomer (LCE) structures with spatially tailorable alignment domains within the same layer. This work addresses the long‐standing challenge of preparing complex 3D LCE architectures with patterned functional domains to achieve nonlinear deformations. Fabrication of multi‐domains in 3D
Adam Bischoff, Saman Jamshididana, Zach Miller, Kassandra Hernandez, Nicolas Gonsalves, Andre Olarra, Elliot Yoo, Jeremy A. Herman, Devin J. Roach   +8 more
wiley   +1 more source

Broadband, Flexible, Skin‐Compatible Carbon Dots/Graphene Photodetectors for Wearable Applications

Advanced Functional Materials, EarlyView.
Broadband, flexible photodetectors integrating nitrogen‐rich carbon dots with single‐layer graphene on plastic substrates are demonstrated. A biocompatible chitosan–glycerol electrolyte enables efficient low‐voltage gating and on‐skin operation. The devices exhibit ultraviolet‐to‐near‐infrared response, mechanical robustness under bending, and verified
Nouha Loudhaief, Petr Rozhin, Ilaria Bertuol, Ali Raza, Leonardo Viti, Subhankar Roy, Enrico Cavarzerani, Luca Sbuelz, Matteo Brilli, Andrea Serinolli, Jacopo Nicoletti, Riccardo Piccoli, Sebastián Castilla, Simone Dal Zilio, Enrique Rodríguez‐Castellón, Miriam Serena Vitiello, Maurizio Selva, Flavio Rizzolio, Alvise Perosa, Giovanni Antonio Salvatore, Domenico De Fazio   +20 more
wiley   +1 more source

Some Extended Results of Common Fixed Point Theorems via Enhanced Categories of Contractive Mappings in Dd* - Symmetric Spaces [version 2; peer review: 2 approved, 1 not approved]

F1000Research
Background After witnessing the implementations of Banach fixed point theory which is stated that a mapping T: X→X has always a unique fixed point in X in giving the existence and uniqueness solutions for many integral and differential equations, various
Alaa M.F. Al-Jumaili, Abduljabar K. Abbas, Ali A. Shihab   +2 more
doaj   +1 more source

Relation between b-metric and fuzzy metric spaces [PDF]

Mathematica Moravica, 2018
In this work we have considered several common fixed point results in b-metric spaces for weak compatible mappings. By applications of these results we establish some fixed point theorems in b-fuzzy metric spaces.
Hassanzadeh Zeinab, Sedghi Shaban
doaj  

Ionic‐Electronic Hydrogel‐Liquid Metal Composite Bilayer with Tissue‐Adaptive and Adhesive Properties for Closed‐Loop Neuroprosthetic System

Advanced Functional Materials, EarlyView.
A hydrogel–liquid metal composite peripheral nerve interface (HLB‐PNI) combines electrically durable electrodes and tissue‐adhesive hydrogel for tissue‐adaptive implantation. In nerve‐injured rats, it enables the diagnosis of sensory‐motor connectivity via stimulation and neural signal recording.
Yewon Kim, Kyoungryong Kim, Jaehyon Kim, Heewon Choi, Mikyung Shin, Donghee Son   +5 more
wiley   +1 more source

Block Copolymers: Emerging Building Blocks for Additive Manufacturing

Advanced Functional Materials, EarlyView.
This review addresses how block copolymer (BCP) physics and rheology have led to the widespread use of BCPs in advanced additive manufacturing techniques, with particular emphasis on the untapped potential of these nanostructured materials toward achieving multi‐scale architected materials with unique, programmable material properties.
Alice S. Fergerson, Hemish B. Thakkar, Jiaen Wu, Emily C. Davidson   +3 more
wiley   +1 more source

Common fixed point theorems of integral type in intuitionistic fuzzy metric space using control function with applications

International Journal of Mathematics for Industry
In this paper, first, we investigate the existence and uniqueness of common fixed point for two pairs of weakly compatible maps which form a new type of integral-type condition via CLR property in the context of intuitionistic fuzzy metric space.
Sahil Arora
doaj   +1 more source