Results 1 to 10 of about 483 (83)
Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces
Fixed Point Theory and Applications, 2011 In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied.
Cho Yeol, Petrot Narin, Agarwal Ravi
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Fixed Point Theory and Applications, 2011 We design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x* of finite family of strict pseudo-contractive mappings which is the solution of the variational ...
Tian Ming, Di Lanyun
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Demonstratio Mathematica, 2021 In this paper, we introduce a shrinking projection method of an inertial type with self-adaptive step size for finding a common element of the set of solutions of a split generalized equilibrium problem and the set of common fixed points of a countable ...
Olona Musa A. +3 more
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Basins of attraction of a one-parameter family of root-finding techniques
Moroccan Journal of Pure and Applied Analysis, 2023 Initial conditions can have a substantial impact on the behavior of iterative root-finding techniques for nonlinear equations. By allowing complex starting points and complex roots, it is possible to examine the basins of attraction in the complex plane ...
Basto Mário, Basto Mário Alberto
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Open Mathematics, 2023 In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan +2 more
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Iterative methods for the split common fixed point problem in Hilbert spaces [PDF]
, 2014 The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear operator belongs to another fixed point set.
Huanhuan Cui, Fenghui Wang
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Demonstratio Mathematica, 2021 In this paper, we introduce a self-adaptive projection method for finding a common element in the solution set of variational inequalities (VIs) and fixed point set for relatively nonexpansive mappings in 2-uniformly convex and uniformly smooth real ...
Jolaoso Lateef Olakunle
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Open Mathematics, 2022 In this paper, we study the problem of finding a common solution of the pseudomonotone variational inequality problem and fixed point problem for demicontractive mappings.
Uzor Victor Amarachi +2 more
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The implicit midpoint rule for nonexpansive mappings
Fixed Point Theory and Applications, 2014 The implicit midpoint rule (IMR) for nonexpansive mappings is established. The IMR generates a sequence by an implicit algorithm. Weak convergence of this algorithm is proved in a Hilbert space.
M. Alghamdi +3 more
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Demonstratio Mathematica, 2020 In this work, we introduce two new inertial-type algorithms for solving variational inequality problems (VIPs) with monotone and Lipschitz continuous mappings in real Hilbert spaces.
Alakoya Timilehin Opeyemi +2 more
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