Block‐iterative schemes for the split common fixed point problem and applications
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10082
Abstract: In this paper, based on the extrapolated Landweber‐type operators, we present new strongly convergent block‐iterative schemes for solving the split common fixed point problem (SCFPP) with demiclosed strongly quasi‐nonexpansive operators on Hilbert spaces. The strong… read more here.
Keywords: iterative schemes; problem; common fixed; fixed point ... See more keywords
Fixed Point Results in Generalized Rectangular Metric Spaces in the Sense of Branciari and Their Applications
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DOI: 10.1002/mma.70181
Abstract: In this work, we will introduce a new type of space called the generalized rectangular b$$ b $$ ‐pseudo metric space, which generalizes the concept of metric space, rectangular metric space, b$$ b $$ ‐rectangular… read more here.
Keywords: generalized rectangular; space; fixed point; rectangular metric ... See more keywords
Stability analysis of a solution for the fractional‐order model on rabies transmission dynamics using a fixed‐point approach
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DOI: 10.1002/mma.9903
Abstract: Understanding the complex phenomena of rabies transmission dynamics requires effective tools. This research leverages the capabilities of the fixed‐point approach and employs the theoretical results to solve the model and extract meaningful insights from the… read more here.
Keywords: rabies transmission; point approach; fixed point; point ... See more keywords
Split Common Null Point and Common Fixed Point Problems Between Banach Spaces and Hilbert Spaces
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DOI: 10.1007/s00009-017-0922-x
Abstract: In this paper, we present a new algorithm for solving the split common null point and the common fixed point problems between Banach spaces and Hilbert spaces, to find a point which belongs to the… read more here.
Keywords: split common; null point; common fixed; point ... See more keywords
Some Fixed Point Theorems in Banach Spaces and Application to a Transport Equation with Delayed Neutrons
Sign Up to like & getrecommendations! Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01815-4
Abstract: In this paper, we present some fixed point theorems of Krasnosel’skii’s type in Banach spaces. The involved operators need not to be compact nor weakly continuous. The results are obtained and formulated with the use… read more here.
Keywords: fixed point; transport equation; banach spaces; point theorems ... See more keywords
On the Conditions of Fixed-Point Theorems Concerning $$\varvec{F}$$F-Contractions
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DOI: 10.1007/s00025-018-0846-1
Abstract: We prove a fixed-point theorem that generalizes and simplifies a number of results in the theory of F-contractions. We show that all of the previously imposed conditions on the operator can be either omitted or… read more here.
Keywords: theorems concerning; point; point theorems; concerning varvec ... See more keywords
Comparison of the Convergence Rates of the New Correntropy-Based Levenberg–Marquardt (CLM) Method and the Fixed-Point Maximum Correntropy (FP-MCC) Algorithm
Sign Up to like & getrecommendations! Published in 2018 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-017-0694-3
Abstract: Correntropy as an efficient information theoretic (ITL) criterion has been extensively applied in many non-Gaussian applications. In order to maximize correntropy, several optimization algorithms have been proposed. Fixed-point maximum correntropy (FP-MCC) and correntropy-based Levenberg–Marquardt (CLM)… read more here.
Keywords: point maximum; maximum correntropy; correntropy; convergence ... See more keywords
ISS Criterion for Lipschitz Nonlinear Interfered Fixed-Point Digital Filters with Saturation Overflow Arithmetic
Sign Up to like & getrecommendations! Published in 2022 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-021-01823-5
Abstract: In this paper, we study the problem of input-to-state stability (ISS) of Lipschitz nonlinear fixed-point digital filters in a state-space realization with saturation arithmetic and external disturbance. Using the Lyapunov theory along with the ‘passivity… read more here.
Keywords: criterion; fixed point; point digital; digital filters ... See more keywords
Adaptive fixed point iterations for semilinear elliptic partial differential equations
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DOI: 10.1007/s10092-019-0321-8
Abstract: In this paper we study the behavior of finite dimensional fixed point iterations, induced by discretization of a continuous fixed point iteration defined within a Banach space setting. We show that the difference between the… read more here.
Keywords: fixed point; point iterations; adaptive fixed; point iteration ... See more keywords
On New Approximations for Generalized Cauchy Functional Equations Using Brzdęk and Ciepliński’s Fixed Point Theorems in 2-Banach Spaces
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DOI: 10.1007/s10473-020-0316-1
Abstract: In this work, we apply the Brzdęk and Ciepliński’s fixed point theorem to investigate new stability results for the generalized Cauchy functional equation of the form $$f(ax+by)=af(x)+bf(y),$$ f ( a x + b y )… read more here.
Keywords: ciepli ski; ski fixed; brzd ciepli; fixed point ... See more keywords
On a new type of stability of a radical quadratic functional equation using Brzdȩk’s fixed point theorem
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DOI: 10.1007/s10474-016-0666-2
Abstract: AbstractUsing a fixed point result and an approach to stability of functional equations presented in [8], we investigate a new type of stability for the radical quadratic functional equation of the form $$ f(\sqrt{x^2+y^2}) =… read more here.
Keywords: stability radical; new type; stability; radical quadratic ... See more keywords