Results 101 to 110 of about 1,874,752 (330)
Analytic and empirical study of the rate of convergence of some iterative methods
We study analytically and empirically the rate of convergence of two \(k\)-step fixed point iterative methods in the family of methods \[ x_{n+1}=T(x_{i_0+n-k+1},x_{i_1+n-k+1},\dots, x_{{i_{k-1}+n-k+1}}),\,n\geq k-1, \] where \(T\colon X^k\rightarrow ...
Vasile Berinde+2 more
doaj +2 more sources
Tamper-evident Image using JPEG Fixed Points [PDF]
An intriguing phenomenon about JPEG compression has been observed since two decades ago- after repeating JPEG compression and decompression, it leads to a stable image that does not change anymore, which is a fixed point. In this work, we prove the existence of fixed points in the essential JPEG procedures. We analyze JPEG compression and decompression
arxiv
Application of Liapunov’s direct method to fixed point theorems [PDF]
Jonathan H. George+2 more
openalex +1 more source
The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu+3 more
wiley +1 more source
In this research article, we introduce a novel iterative approach that builds upon a two-step extragradient-viscosity method. This method aims to find a common element among the solution set of a variational inequality, an equilibrium problem, and the ...
Maryam Yazdi, Saeed Hashemi Sababe
doaj +1 more source
Structural index reduction algorithms for differential algebraic equations via fixed-point iteration [PDF]
Motivated by Pryce's structural index reduction method for differential algebraic equations (DAEs), we show the complexity of the fixed-point iteration algorithm and propose a fixed-point iteration method with parameters. It leads to a block fixed-point iteration method which can be applied to large-scale DAEs with block upper triangular structure ...
arxiv
ITERATIVE METHODS FOR APPROXIMATION OF FIXED POINTS AND THEIR APPLICATIONS [PDF]
In this article, we deal with iterative methods for approximation of fixed points and their applications. We first discuss fixed point theorems for a nonexpansive mapping or a family of nonexpansive mappings. In particular, we state a fixed point theorem which answered affirmatively a problem posed during the Conference on Fixed Point Theory and ...
openaire +2 more sources
The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld+7 more
wiley +1 more source
Shrinking projection method for proximal split feasibility and fixed point problems
In this paper, we consider and study proximal split feasibility and fixed point problem. For solving the problems, we introduce an iterative algorithm with shrinking projection technique. It is proven that the sequence generated by the proposed iterative
Jinzuo Chen
doaj
Majorization fixed point principle and application to nonlinear integral equations [PDF]
The successive approximations method allows us to solve problems concerning existence and uniqueness of fixed points of wide classes of operators. The classical result in this field, such as Banach -- Caccioppoli principle together with some its modification and generalisations, is applicable to operators satisfying Lipschitz condition with a small ...
arxiv