Results 31 to 40 of about 9,409 (264)

A Noncontractive Fixed Point Theorem [PDF]

Proceedings of the American Mathematical Society, 1970
The sequence Txn so constructed contains a subsequence TXnk which converges to some x X and which, by Ascoli's theorem [3], is equicontinuous. It follows in turn from (1) that the sequence Xnk is equicontinuous. To complete the proof it suffices to show xn,(t)-x(t) in B.
openaire   +1 more source

Multimodal Data‐Driven Microstructure Characterization

Advanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Some Common Fixed Point Theorems in Generalized Metric Spaces

Journal of Mathematics, 2013
First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps.
Manoj Kumar, Pankaj Kumar, Sanjay Kumar
doaj   +1 more source

Programmable 2D Magnetic Clusterphenes With High Curie Temperature and Strong Magnetic Anisotropy via Cluster Assembly and Ligand Synergy

Advanced Functional Materials, EarlyView.
Programmable 2D magnetic clusterphenes are realized through a ligand‐mediated cluster‐assembly strategy. Direct linking of magnetic superatomic clusters enhances electron delocalization and symmetry breaking, enabling the concurrent strengthening of magnetic exchange interactions and spin–orbit coupling.
Junxiang Fu, Zhuohang Fang, Haidi Wang, Ye Yang, Weiduo Zhu, Weiwei Chen, Yu Zhang, Haixiao Xiao, Zhao Chen, Hongyan Lv, Xiaofeng Liu, Xiangyang Li, Xiao Cheng Zeng, Zhongjun Li   +13 more
wiley   +1 more source

Notes on multidimensional fixed-point theorems

Demonstratio Mathematica, 2017
In this paper we prove the existence and uniqueness of coincident (fixed) points for nonlinear mappings of any number of arguments under a (ψ, θ, φ)-weak contraction condition without O-compatibility.
Akhadkulov Habibulla, Noorani Salmi M., Saaban Azizan B., Alipiah Fathilah M., Alsamir Habes   +4 more
doaj   +1 more source

On the Lefschetz Fixed Point Theorem [PDF]

, 2005
The abstract version of the Lefschetz fixed point theorem is proved which states the following: If \(X\) is a metric space and if \(X_0\subset X\) is such that \(X_0\) absorbs compact sets, \(f\:X\to X\) is a continuous map, \(f(X_0) \subset X_0\) and \(f/X_0\) is a Lefschetz map, then \(f\) is also (on \(X\)) a Lefschetz map. Here a continuous map \(f\
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A Fixed Point Theorem for Discontinuous Functions [PDF]

SSRN Electronic Journal, 2004
Let \(P\) be an non-empty polytope in the \(n\)-dimensional Euclidean space \(\mathbb{R}^n\) and \(f:P\to P\) be a function. A function \(f\) is locally gross direction preserving if for each \(x\in P\) for which \(f(x)\neq x\), there exists \(\delta>0\) such that for every \(y,z\in B(x,\delta)\cap P\), the function \(f\) satisfies \((f(y)-y)^T(f(z)-z)\
P. Jean-Jacques Herings, Gerard van der Laan, Dolf Talman, Zaifu Yang   +3 more
openaire   +14 more sources

Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet

Advanced Materials, EarlyView.
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens, Francisco Romero‐Lara, Trisha Sai, Kalyan Biswas, Manuel Vilas‐Varela, Thomas Frederiksen, Diego Peña, Fabian Schulz, Jose Ignacio Pascual   +8 more
wiley   +1 more source

KAM via standard fixed point theorems

Forum of Mathematics, Sigma
With a mere usage of well-established properties of paradifferential operators, the conjugacy equations in several model KAM problems are converted to parahomological equations solvable by standard fixed point argument.
Thomas Alazard, Chengyang Shao
doaj   +1 more source

Some Krasnosel’skii-type fixed point theorems for Meir–Keeler-type mappings

Nonlinear Analysis, 2020
In this paper, inspired by the idea of Meir–Keeler contractive mappings, we introduce Meir–Keeler expansive mappings, say MKE, in order to obtain Krasnosel’skii-type fixed point theorems in Banach spaces. The idea of the paper is to combine the notion of
Ehsan Pourhadi, Reza Saadati, Zoran Kadelburg   +2 more
doaj   +1 more source