Results 81 to 90 of about 315,233 (274)

Fixed Point Theory of Weak Contractions in Partially Ordered Metric Spaces

open access: yesJournal of Applied Mathematics, 2013
We prove two new fixed point theorems in the framework of partially ordered metric spaces. Our results generalize and improve many recent fixed point theorems in the literature.
Chi-Ming Chen   +2 more
doaj   +1 more source

Handel’s fixed point theorem revisited [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2012
AbstractMichael Handel proved in [A fixed-point theorem for planar homeomorphisms. Topology38 (1999), 235–264] the existence of a fixed point for an orientation-preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity.
openaire   +2 more sources

New High‐Tc Charge‐Transfer Multiferroicity in the Quasi‐2D Antiferromagnet CrSbS3

open access: yesAdvanced Science, EarlyView.
ABSTRACT Low‐dimensional magnets, particularly 2D systems, offer a rich platform for realizing unconventional multiferroic mechanisms, especially when multiple polarization channels coexist. In the quasi‐2D antiferromagnet CrSbS3, which crystallizes in the centrosymmetric orthorhombic space group Pnma and orders magnetically at TN ≈ 90 K, two ...
Hung‐Cheng Wu   +17 more
wiley   +1 more source

Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi-equilibrium theorems.
Sehie Park
doaj   +1 more source

Design of Optical Transducer for Recognition of Biomolecular Interactions between Bacterial Lipopolysaccharides and Amino Acids

open access: yesAdvanced Science, EarlyView.
A deep comprehension of biomolecular phenomena at interfaces is significant with their fundamental and practical importance. Our experimental and theoretical investigations reveal that specific amino acids (glutamic acid and aspartic acid) exhibit an orientational coupling with liquid crystals, which can recognize and optically report the interfacial ...
Yena Choi   +10 more
wiley   +1 more source

Cells Dynamically Adapt Their Nuclear Volumes and Proliferation Rates During Single to Multicellular Transitions

open access: yesAdvanced Science, EarlyView.
It is currently not well understood how cells regulate basic properties, e.g., volume and mechanics within dense multicellular environments like tumors. Here, we show that different cell types of cancer and also normal cells largely decrease their nuclear and cellular volumes in emerging cell clusters and that this is partly driven by cell cycle shifts.
Vaibhav Mahajan   +13 more
wiley   +1 more source

Common fixed point theorems for compatible mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş   +2 more
doaj   +1 more source

Extended Fuzzy Metrics and Fixed Point Theorems

open access: yesMathematics, 2019
In this paper, we study those fuzzy metrics M on X, in the George and Veeramani’s sense, such that ⋀ t > 0 M ( x , y , t ) > 0 . The continuous extension M 0 of M to X 2 × 0 , + ∞ is called extended
Valentín Gregori   +2 more
doaj   +1 more source

Functional Disorder at the Neural Interface: How Disordered Nanostructures Promote Proper Growth and Differentiation in In Vitro Neural Cultures

open access: yesAdvanced Science, EarlyView.
This work provides a practical guide for neuroengineers to design advanced neural interfaces, embracing and tailoring the concept of functional disorder. By bridging 2D and 3D in vitro models, this work highlights how non‐periodic, spatially heterogeneous, multiscale nanotopography can enable more physiologically relevant platforms for studying neural ...
F. Maita   +4 more
wiley   +1 more source

Fixed Point Theorems for Asymptotically Contractive Multimappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions.
M. Djedidi, K. Nachi
doaj   +1 more source

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