Results 11 to 20 of about 1,062,749 (259)
Geometrically Constructed Family of the Simple Fixed Point Iteration Method
Mathematics, 2021 This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar +6 more
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Extrapolation methods for fixed‐point multilinear PageRank computations [PDF]
Numerical Linear Algebra with Applications, 2020 SummaryNonnegative tensors arise very naturally in many applications that involve large and complex data flows. Due to the relatively small requirement in terms of memory storage and number of operations per step, the (shifted) higher order power method is one of the most commonly used technique for the computation of positive Z‐eigenvectors of this ...
Stefano Cipolla +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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Stability of lattice functional equation in UCBF-algebra [PDF]
Journal of Mahani Mathematical Research, 2023 The main aim of this research is to investigate the stability of a functional equation that maintains the lattice structure in a uniformly complete unital Banach $f$-algebra.
Ehsan Movahednia
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EFIX: Exact fixed point methods for distributed optimization
Journal of Global Optimization, 2022 AbstractWe consider strongly convex distributed consensus optimization over connected networks. EFIX, the proposed method, is derived using quadratic penalty approach. In more detail, we use the standard reformulation—transforming the original problem into a constrained problem in a higher dimensional space—to define a sequence of suitable quadratic ...
Jakovetić, Dušan +2 more
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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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An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces
Journal of Mathematics, 2021 In this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two weak convergence theorems of the proposed
Haixia Zhang, Huanhuan Cui
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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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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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An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
Journal of Inequalities and Applications, 2007 We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational ...
Liou Yeong-Cheng +2 more
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