Results 21 to 30 of about 1,874,752 (330)
A Method of Combining Fixed Points [PDF]
Proceedings of the American Mathematical Society, 1975 It is now well known that in the category of finite polyhedra the fixed point property is not preserved by the operations of suspension, Cartesian product, adjunction along a segment, and join. Thus far none of the examples given have involved polyhedra of dimension 2. It is shown in this paper that two fixed points x x and y
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Hybrid Fixed-Point Fixed-Stress Splitting Method for Linear Poroelasticity
Geosciences, 2019 Efficient and accurate poroelasticity models are critical in modeling geophysical problems such as oil exploration, gas-hydrate detection, and hydrogeology. We propose an efficient operator splitting method for Biot’s model of linear poroelasticity
Paul M. Delgado +2 more
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Proximal Gradient Method for Solving Bilevel Optimization Problems
Mathematical and Computational Applications, 2020 In this paper, we consider a bilevel optimization problem as a task of finding the optimum of the upper-level problem subject to the solution set of the split feasibility problem of fixed point problems and optimization problems.
Seifu Endris Yimer +2 more
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Existence, Uniqueness and Stability Analysis with the Multiple Exp Function Method for NPDEs
Mathematics, 2022 In this study, firstly, through an alternative theorem, we study the existence and uniqueness of solution of some nonlinear PDEs and then investigate the Ulam–Hyers–Rassias stability of solution. Secondly, we apply a relatively novel analytical technique,
Safoura Rezaei Aderyani +3 more
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Nonlinear Random Stability via Fixed-Point Method
Journal of Applied Mathematics, 2012 We prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y) in various complete random normed spaces.
Yeol Je Cho, Shin Min Kang, Reza Saadati
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Mathematics, 2019 In this paper, we introduce an iterative scheme with inertial effect using Mann iterative scheme and gradient-projection for solving the bilevel variational inequality problem over the intersection of the set of common fixed points of a finite number of ...
Seifu Endris Yimer +3 more
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Fixed Points by a New Iteration Method [PDF]
Proceedings of the American Mathematical Society, 1974 The following result is shown. If T T is a lipschitzian pseudo-contractive map of a compact convex subset E E of a Hilbert space into itself and x 1 {x_1} is any point in E E , then a certain mean value sequence defined by
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Chebyshev Inertial Iteration for Accelerating Fixed-Point Iterations [PDF]
, 2020 A novel method which is called the Chebyshev inertial iteration for accelerating the convergence speed of fixed-point iterations is presented. The Chebyshev inertial iteration can be regarded as a valiant of the successive over relaxation or Krasnosel'ski\v{\i}-Mann iteration utilizing the inverse of roots of a Chebyshev polynomial as iteration ...
arxiv +1 more source
The Steady States of Antitone Electric Systems [PDF]
arXiv, 2023 The steady states of an antitone electric system are described by an antitone function with respect to the componentwise order. When this function is bounded from below by a positive vector, it has only one fixed point. This fixed point is attractive for the fixed point iteration method.
arxiv
A note on a fixed-point method for deconvolution [PDF]
Statistics, 2016 In this paper we study a particular multidimensional deconvolution problem. The distribution of the noise is assumed to be of the form $G(dx) = (1 − \alpha)\delta(dx) + \alpha g(x)dx$, where $\delta$ is the Dirac mass at $0\in R^d$ , $g : R^d → [0, \infty)$ is a density and $\alpha \in [0, 1 2 [$.
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