Results 31 to 40 of about 10,988,230 (174)
Journal of Inequalities and Applications, 2021 For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
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Novel Algorithms for Solving a System of Absolute Value Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide range of equilibrium problems that arise in a variety of disciplines.
Safeera Batool +5 more
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Advances in Difference Equations, 2020 In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces.
Yasir Arfat +5 more
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Steplengths in the extragradient type methods
Journal of Computational and Applied Mathematics, 2010 The authors consider extragradient type methods for monotone variational inequalities. Two new kinds of steplengths in the extragradient type methods are studied. They also give some numerical experiments to illustrate their results.
Xiang Wang, Bingsheng He, Li-Zhi Liao
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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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A Self‐Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self‐adaptive rule and the extragradient algorithm.
Li-Jun Zhu +2 more
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Mathematics, 2022 In a real Hilbert space, let the CFPP, VIP, and HFPP denote the common fixed-point problem of countable nonexpansive operators and asymptotically nonexpansive operator, variational inequality problem, and hierarchical fixed point problem, respectively ...
Yun-Ling Cui +6 more
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An Extragradient-Based Alternating Direction Method for Convex Minimization [PDF]
Foundations of Computational Mathematics, 2015 In this paper, we consider the problem of minimizing the sum of two convex functions subject to linear linking constraints. The classical alternating direction type methods usually assume that the two convex functions have relatively easy proximal mappings.
Tianyi Lin, Shiqian Ma, Shuzhong Zhang
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Abstract and Applied Analysis, 2013 We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng +2 more
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Journal of Function Spaces, 2021 The primary objective of this study is to introduce two novel extragradient-type iterative schemes for solving variational inequality problems in a real Hilbert space.
Chainarong Khunpanuk +2 more
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