Results 41 to 50 of about 5,594,202 (306)

A Fixed Point Theorem for Discontinuous Functions [PDF]

Operations Research Letters, 2005
In this paper we prove the following fixed point theorem. Consider a non-empty bounded polyhedron P and a function f from P to P such that for every x in P with f(x) not equal to x there is a ball in P around x such that the inner product of f(y)-y and f(z)-z is nonnegative for any two elements y and z in the ball. Then f has a fixed point.
P. Jean-Jacques Herings, Gerard van der Laan, Dolf Talman, Zaifu Yang   +3 more
openaire   +14 more sources

Accelerated Discovery of Topological Spin Phase Diagrams in CrSBr Magnets Via High‐Throughput Optimization

Advanced Functional Materials, EarlyView.
Here, we develop a high‐throughput algorithm that accelerates the elucidation of phase diagrams of topological spin textures using limited computational resources at high numerical accuracy. Applying this framework to the van der Waals magnet CrSBr, we unveiled a hierarchy of previously unknown topological textures (domain‐wall bimerons, bimeron chains,
Andrew Lyall, Mohammad H. Badarneh, Cristian Bonato, Rebecca Cheung, Elton J. G. Santos   +4 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

Mechanics of Telson Ridges in Mantis Shrimp for Impact Analysis and Implications for Bioinspired Elastic Shell Designs

Advanced Functional Materials, EarlyView.
The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika, Adwait Trikanad, Wei Huang, Taige Hao, David Kisailus, Pablo D. Zavattieri   +5 more
wiley   +1 more source

Common fixed point theorems for fuzzy mappings [PDF]

, 2002
summary:In this paper, we prove common fixed point theorems for fuzzy mappings satisfying a new inequality initiated by Constantin [6] in complete metric ...
Rashwan, R. A., Ahmed, Magdy A.
core   +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

Mönch sets and fixed point theorems for multimaps in locally convex topological vector spaces

, 2017
We present a variety of fixed point theorems for multimaps having weakly closed graph. We state in turn Sadovskii, Monch and Daher type theorems which improve recent results in the literature.
Rubbioni, Paola, O’Regan, Donal, Cardinali, Tiziana   +2 more
core   +1 more source

Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces [PDF]

, 2010
We present some fixed point theorems for the sum A + B of a weakly-strongly continuous map and a nonexpansive map on a Banach space X.
Agarwal, RaviP, Ravi P. Agarwal, O'Regan, Donal, RaviP Agarwal, Taoudi, Mohamed-Aziz, Donal O'Regan, Mohamed-Aziz Taoudi   +6 more
core   +1 more source

Hölder-type spaces, singular operators, and fixed point theorems

, 2021
In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives.
López Brito, María Belén, Dutkiewicz, A., Sadarangani Sadarangani, Kishin Bhagwands, Reinwand, S., Appell, J.   +4 more
core   +1 more source