Results 21 to 30 of about 2,962,665 (347)
Fixed Point Theory, 2020 In this paper, we introduce a modified inertial subgradient extragradient method for solving a variational inequality problem with Lipschitz pseudomonotone mapping and a common fixed-point problem of a family of nonexpansive mappings.
L. Ceng, A. Petruşel, X. Qin, J. C. Yao
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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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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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A Fast Image Restoration Algorithm Based on a Fixed Point and Optimization Method
Mathematics, 2020 In this paper, a new accelerated fixed point algorithm for solving a common fixed point of a family of nonexpansive operators is introduced and studied, and then a weak convergence result and the convergence behavior of the proposed method is proven and ...
A. Hanjing, S. Suantai
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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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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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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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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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The convergence of the Euler's method
Journal of Numerical Analysis and Approximation Theory, 2010 In this article we study the Euler's iterative method. For this method we give a global theorem of convergence. In the last section of the paper we give a numerical example which illustrates the result exposed in this work.
Raluca Anamaria Sălăjan (Pomian)
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