Results 1 to 10 of about 4,460,427 (238)
On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities. [PDF]
J Optim Theory Appl, 2018 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
Vuong PT.
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Gap functions for quasi-variational inequalities via duality [PDF]
Journal of Inequalities and Applications, 2018 This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim.
L Altangerel
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Results in Control and Optimization, 2022 In this paper, we consider a class of set-valued implicit quasi-variational inequalities in real Banach spaces and show its equivalence with a class of fixed point equations and a class of Wiener–Hopf equations.
Mudasir A. Malik +2 more
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On a class of generalized stochastic Browder mixed variational inequalities [PDF]
Journal of Inequalities and Applications, 2020 In this paper, we introduce a class of stochastic variational inequalities generated from the Browder variational inequalities. First, the existence of solutions for these generalized stochastic Browder mixed variational inequalities (GS-BMVI) are ...
Chao Min +3 more
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Merit functions for absolute value variational inequalities
AIMS Mathematics, 2021 This article deals with a class of variational inequalities known as absolute value variational inequalities. Some new merit functions for the absolute value variational inequalities are established.
Safeera Batool +2 more
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Aggregative Variational Inequalities
Journal of Optimization Theory and Applications, 2023 AbstractWe enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium
von Mouche, Peter Hubert Mathieu +1 more
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Inertial projection methods for solving general quasi-variational inequalities
AIMS Mathematics, 2021 In this paper, we consider a new class of quasi-variational inequalities, which is called the general quasi-variational inequality. Using the projection operator technique, we establish the equivalence between the general quasi-variational inequalities ...
Saudia Jabeen +3 more
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Some new classes of general quasi variational inequalities
AIMS Mathematics, 2021 In this paper, we introduce and consider some new classes of general quasi variational inequalities, which provide us with unified, natural, novel and simple framework to consider a wide class of unrelated problems arising in pure and applied sciences ...
Muhammad Aslam Noor +2 more
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Journal of Inequalities and Applications, 2021 In a real Hilbert space, let GSVI and CFPP represent a general system of variational inequalities and a common fixed point problem of a countable family of nonexpansive mappings and an asymptotically nonexpansive mapping, respectively. In this paper, via
Long He +5 more
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Solving Mixed Variational Inequalities Beyond Convexity
Journal of Optimization Theory and Applications, 2021 We show that Malitsky’s recent Golden Ratio Algorithm for solving convex mixed variational inequalities can be employed in a certain nonconvex framework as well, making it probably the first iterative method in the literature for solving generalized ...
S. Grad, F. Lara
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