Results 41 to 50 of about 102 (88)
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti +4 more
wiley +1 more source
On the convergence of a generalized modified Krasnoselskii iterative process for generalized strictly pseudocontractive mappings in uniformly convex Banach spaces [PDF]
Fixed Point Theory and Applications, 2016 AbstractThis paper aims to study the strong convergence of generalized modified Krasnoselskii iterative process for finding the minimum norm solutions of certain nonlinear equations with generalized strictly pseudocontractive, demiclosed, coercive, bounded, and potential mappings in uniformly convex Banach spaces.
openaire +2 more sources
Mathematical Methods in the Applied Sciences, Volume 47, Issue 5, Page 3582-3595, 30 March 2024.We propose an Adomian decomposition method to solve a class of nonlinear differential equations of fractional‐order with modified Caputo derivatives and integral boundary conditions. Our approach uses the integral boundary conditions to derive an equivalent nonlinear Volterra integral equation before establishing existence and uniqueness of solution ...
Om Kalthoum Wanassi +2 more
wiley +1 more source
Modelling Hysteresis in Shape Memory Alloys Using LSTM Recurrent Neural Network
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.The complex behavior of shape memory alloys (SMAs), characterized by hysteresis and nonlinear dynamics, results in complex constitutive equations. To circumvent the complexity of solving these equations, a black box neural network (NN) has been employed in this research to model a rotary actuator actuated by an SMA wire.
Mohammad Reza Zakerzadeh +3 more
wiley +1 more source
, 2018 Let us consider two nonempty closed convex subsets A, B of a strictly convex space and a mapping T : A ∪ B → A ∪ B satisfying T (A) ⊆ B and T (B) ⊆ A and ||T x − T y|| ≤ ||x – y||, for all x ∈ A and y ∈ B. First, we provided sufficient conditions for the existence of fixed point pairs (x∗, y∗) in A×B of T for which the distance between x∗ and y∗ is ...
openaire +1 more source
Stochastic Krasnoselskii-Mann Iterations: Convergence without Uniformly Bounded Variance
We investigate the Stochastic Krasnoselskii-Mann iterations for expected nonexpansive fixed-point problems in a real Hilbert space. We establish convergence guarantees under significantly weaker assumptions on the variance than those typically used in the literature. In particular, instead of a uniform bound on the variance of the stochastic oracle, we
Cortild, Daniel, Cartis, Coralia
openaire +2 more sources
Convex optimization algorithms in medical image reconstruction-in the age of AI. [PDF]
Phys Med Biol, 2022 Xu J, Noo F.
europepmc +1 more source
Ultraprecise Controller for Piezoelectric Actuators Based on Deep Learning and Model Predictive Control. [PDF]
Sensors (Basel), 2023 Uralde J +5 more
europepmc +1 more source
Bangmod International Journal of Mathematical and Computational ScienceIn this paper, we introduce and study a Halpern inertial method for solving the general perturbed Krasnoselskii-Mann type algorithm in Hilbert space settings, where the underlying mapping is quasi-nonexpansive. We discuss convergence analysis of the method under some mild assumptions on the control sequences. We additionally present a numerical example
Rattanaporn Wangkeeree +5 more
openaire +1 more source