General Common Fixed Point Theorems and Applications
Journal of Applied Mathematics, 2012 The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result of Đorić and Lazović (2011) for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction.
Shyam Lal Singh +3 more
doaj +1 more source
Best Proximity Point Theorems for <i>kt</I>-types Cyclic Orbital Contraction Mappings
, 2012 Tas, Kenan/0000-0001-8173-453XIn this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given.
Karapinar, Erdal +2 more
core
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Unique fixed point theorems in partially ordered metric spaces. [PDF]
Heliyon, 2020 Seshagiri Rao N, Kalyani K.
europepmc +1 more source
Holographic Mapping of Orbital Angular Momentum using a Terahertz Diffractive Optical Neural Network
Advanced Intelligent Discovery, EarlyView.A compact six‐layer diffractive optical neural network enables direct recognition and spatial mapping of terahertz (THz) orbital angular momentum (OAM) beams. Fabricated by 3D printing, the system distinguishes nine OAM modes and their superpositions with high fidelity, good efficiency, and low crosstalk, offering a scalable solution for THz ...
Wei Jia +3 more
wiley +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
Advanced Intelligent Discovery, EarlyView.This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
Furi–Pera fixed point theorems in Banach algebras with applications [PDF]
, 2008 summary:In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is ${\mathcal D}$-Lipchitzian.
Hammache, Karima, Djebali, Smaïl
core +1 more source
Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function. [PDF]
BMC Res Notes, 2020 Seshagiri Rao N, Kalyani K, Mitiku B.
europepmc +1 more source
Advanced Intelligent Discovery, EarlyView.The authors develop a deep learning model for real‐time tracking of wound progression. The deep learning framework maps the nonlinear evolution of a time series of images to a latent space, where they learn a linear representation of the dynamics. The linear model is interpretable and suitable for applications in feedback control.
Fan Lu +11 more
wiley +1 more source
Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications. [PDF]
Heliyon, 2020 Okeke GA, Francis D, de la Sen M.
europepmc +1 more source