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Some common fixed point theorems for biased mappings [PDF]

open access: yes, 2000
summary:Some common fixed point theorems in normed spaces are proved using the concept of biased mappings- a generalization of compatible ...
Sahar, Salma, Shahzad, Naseer
core   +1 more source

On Cartwright–Littlewood fixed point theorem [PDF]

open access: yesIndagationes Mathematicae, 2022
corrections for ...
openaire   +3 more sources

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

open access: yesAdvanced 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   +4 more
wiley   +1 more source

Some Common Fixed Point Theorems in Generalized Metric Spaces

open access: yesJournal 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

GENERALIZED FIXED POINT THEOREMS IN G-CONE METRIC SPACES INVOLVING Φ-CONTRACTIONS AND AUXILIARY PERTURBATIONS [PDF]

open access: yesJournal of Mechanics of Continua and Mathematical Sciences
In this work, we provide a set of enhanced fixed-point theorems over Banach spaces with normal cones in the context of G-cone metric spaces. Our results extend and generalize existing theorems by incorporating φ-contractive mappings and perturbation ...
Achala Mishra, Hiral Raja
doaj   +1 more source

Some Common Fixed Point Theorems in Partially Ordered Sets

open access: yesJournal of Applied Mathematics, 2020
The purpose of this paper is to prove some new fixed point theorem and common fixed point theorems of a commuting family of order-preserving mappings defined on an ordered set, which unify and generalize some relevant fixed point theorems.
Khadija Bouzkoura, Said Benkaddour
doaj   +1 more source

A Noncontractive Fixed Point Theorem [PDF]

open access: yesProceedings 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

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

open access: yesAdvanced 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   +5 more
wiley   +1 more source

KAM via standard fixed point theorems

open access: yesForum 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

Notes on multidimensional fixed-point theorems

open access: yesDemonstratio 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   +4 more
doaj   +1 more source

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