Results 41 to 50 of about 202 (128)
Journal of Inequalities and Applications, 2022 In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng +2 more
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An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin +3 more
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Results in Nonlinear Analysis, 2021 In this paper, we introduce an inertial parallel CQ subgradient extragradient method for finding a common solutions of variational inequality problems.
Ponkamon Kitisak, Watcharaporn Cholamjiak, Damrongsak Yambangwai
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we study the strong convergence of an algorithm to solve the variational inequality problem which extends a recent paper (Thong et al., Numerical Algorithms. 78, 1045‐1060 (2018)). We reduce and refine some of their algorithm conditions and we prove the convergence of the algorithm in the presence of some computational errors.
Mostafa Ghadampour +4 more
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Mathematics, 2022 Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk +2 more
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An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems
, 2021 The paper introduces an inertial extragradient subgradient method with self-adaptive step sizes for solving equilibrium problems in real Hilbert spaces.
Iyiola, Olaniyi S. +3 more
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Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 In this paper, we introduce a new iterative method in a real Hilbert space for approximating a point in the solution set of a pseudomonotone equilibrium problem which is a common fixed point of a finite family of demicontractive mappings. Our result does not require that we impose the condition that the sum of the control sequences used in the finite ...
F. U. Ogbuisi +2 more
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Cyclic subgradient extragradient methods for equilibrium problems [PDF]
Arabian Journal of Mathematics, 2016 En este artículo, presentamos un algoritmo de extragradiente de subgradiente cíclico y su forma modificada para encontrar una solución de un sistema de problemas de equilibrio para una clase de bifunciones continuas de tipo pseudomonotono y Lipschitz. La idea principal de estos algoritmos se origina a partir de varios resultados previamente conocidos ...
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Fixed Point Theory and Applications, 2020 In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
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A Mean Extragradient Method for Solving Variational Inequalities
, 2021 We propose a modified extragradient method for solving the variational inequality problem in a Hilbert space. The method is a combination of the well-known subgradient extragradient with the Mann’s mean value method in which the updated iterate is picked
Apichit Buakird +2 more
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