A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces
Sign Up to like & getrecommendations! Published in 2019 at "Calcolo"
DOI: 10.1007/s10092-019-0341-4
Abstract: In this paper, using a hybrid extragradient method, we introduce a new iterative process for finding a common element of the solution set of the Split Equality Common Equilibrium Problem for a finite family of… read more here.
Keywords: extragradient method; hybrid extragradient; split equality; split ... See more keywords
On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities
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DOI: 10.1007/s10957-017-1214-0
Abstract: In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is considered to illustrate… read more here.
Keywords: pseudo monotone; method solving; extragradient method; variational inequalities ... See more keywords
Modified subgradient extragradient method for variational inequality problems
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DOI: 10.1007/s11075-017-0452-4
Abstract: In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard… read more here.
Keywords: extragradient method; method; subgradient extragradient; inequality problems ... See more keywords
A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems
Sign Up to like & getrecommendations! Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1686503
Abstract: ABSTRACT In this work, we investigate a new extragradient method for finding an element of the set of solutions of the bilevel pseudomonotone variational inequality problem in real Hilbert spaces. We only use one projection… read more here.
Keywords: extragradient method; pseudomonotone variational; variational inequality; bilevel pseudomonotone ... See more keywords
On the convergence of inertial two-subgradient extragradient method for variational inequality problems
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DOI: 10.1080/02331934.2019.1686632
Abstract: ABSTRACT In 2012, Censor et al. proposed the so-called two-subgradient extragradient method (TSEGM) in which both projections have an explicit-formula because the projections are just executed onto half-spaces. However, the convergence of the TSEGM was… read more here.
Keywords: subgradient extragradient; two subgradient; open question; extragradient method ... See more keywords
A modified subgradient extragradient method for solving monotone variational inequalities
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1366-3
Abstract: In the setting of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex function. Our iterative process is relaxed and… read more here.
Keywords: extragradient method; method; variational inequalities; subgradient extragradient ... See more keywords
A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems
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DOI: 10.1515/math-2022-0571
Abstract: Abstract 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… read more here.
Keywords: inertial extragradient; extragradient method; class; self adaptive ... See more keywords
An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications
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DOI: 10.3390/axioms9030099
Abstract: Several methods have been put forward to solve equilibrium problems, in which the two-step extragradient method is very useful and significant. In this article, we propose a new extragradient-like method to evaluate the numerical solution… read more here.
Keywords: extragradient method; equilibrium; method; pseudomonotone equilibrium ... See more keywords
An Efficient Parallel Extragradient Method for Systems of Variational Inequalities Involving Fixed Points of Demicontractive Mappings
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DOI: 10.3390/sym12111915
Abstract: Herein, we present a new parallel extragradient method for solving systems of variational inequalities and common fixed point problems for demicontractive mappings in real Hilbert spaces. The algorithm determines the next iterate by computing a… read more here.
Keywords: systems variational; extragradient method; parallel extragradient; variational inequalities ... See more keywords
Bregman subgradient extragradient method with monotone self-adjustment stepsize for solving pseudo-monotone variational inequalities and fixed point problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2020178
Abstract: Using the concept of Bregman divergence, we propose a new subgradient extragradient method for approximating a common solution of pseudo-monotone and Lipschitz continuous variational inequalities and fixed point problem in real Hilbert spaces. The algorithm… read more here.
Keywords: pseudo monotone; extragradient method; monotone; variational inequalities ... See more keywords