On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
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
Regularization Proximal Method for Monotone Variational Inclusions
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DOI: 10.1007/s11067-021-09552-7
Abstract: The paper concerns with a new iterative method for solving a monotone variational inclusion problem in a Hilbert space. The method is of the proximal contraction type incorporated with the regularization technique. Under the prediction… read more here.
Keywords: proximal method; regularization proximal; method monotone; method ... See more keywords
Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0531-8
Abstract: We introduce a projection-type algorithm for solving monotone variational inequality problems in real Hilbert spaces without assuming Lipschitz continuity of the corresponding operator. We prove that the whole sequence of iterates converges strongly to a… read more here.
Keywords: monotone variational; projection type; method; hilbert spaces ... See more keywords
Proximal algorithm for solving monotone variational inclusion
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DOI: 10.1080/02331934.2018.1455832
Abstract: Abstract In this paper, we introduce a contraction algorithm for solving monotone variational inclusion problem. To reach this goal, our main iterative algorithm combine Dong’s projection and contraction algorithm with resolvent operator. Under suitable assumptions,… read more here.
Keywords: algorithm; algorithm solving; variational inclusion; monotone variational ... See more keywords
Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems
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DOI: 10.1080/02331934.2019.1711087
Abstract: In this paper, we investigate the monotone variational inequalities and fixed point problems in Hilbert spaces. Two modified extragradient algorithms are presented for finding a common element of the set of fixed points of a… read more here.
Keywords: modified extragradient; inequalities fixed; point problems; variational inequalities ... 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
An iterative scheme for split monotone variational inclusion, variational inequality and fixed point problems
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DOI: 10.1186/s13662-020-02942-0
Abstract: We propose and analyze a new type iterative algorithm to find a common solution of split monotone variational inclusion, variational inequality, and fixed point problems for an infinite family of nonexpansive mappings in the framework… read more here.
Keywords: inclusion variational; split monotone; inequality fixed; variational inequality ... See more keywords
Modified Viscosity Subgradient Extragradient-Like Algorithms for Solving Monotone Variational Inequalities Problems
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DOI: 10.3390/axioms9040118
Abstract: Variational inequality theory is an effective tool for engineering, economics, transport and mathematical optimization. Some of the approaches used to resolve variational inequalities usually involve iterative techniques. In this article, we introduce a new modified… read more here.
Keywords: extragradient; inequalities problems; variational inequalities; monotone variational ... See more keywords