Results 11 to 20 of about 270 (155)
Generalized Vector Equilibrium-Like Problems without Pseudomonotonicity in Banach Spaces
Journal of Inequalities and Applications, 2007 Let X and Y be real Banach spaces, D a nonempty closed convex subset of X, and C:D→2Y a multifunction such that for each u∈D, C(u) is a proper, closed and convex cone with intC(u)≠∅, where intC(u) denotes the interior of C(u). Given
Lu-Chuan Ceng +2 more
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On Well-Posedness of Some Constrained Variational Problems
Mathematics, 2021 By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational ...
Savin Treanţă
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Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities [PDF]
Journal of Applied Mathematics, 2012 We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique.
Muhammad Aslam Noor +3 more
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Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds [PDF]
Journal of Applied Mathematics, 2012 We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold. It is shown that the convergence of this proximal point method needs only pseudomonotonicity,
Muhammad Aslam Noor, Khalida Inayat Noor
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Quasimonotone versus pseudomonotone
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1996 Under some natural hypotheses, we show that if the (Nemitsky-) operator associated with an elliptic system is pseudomonotone, then the system has to be quasimonotone. Conversely, if the system satisfies a strict quasimonotonicity condition, then an existence proof of K.-W.
Rüdiger Landes
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A geometrical insight on pseudoconvexity and pseudomonotonicity [PDF]
Mathematical Programming, 2009 Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.
Jean-Pierre Crouzeix +2 more
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Pseudomonotone diagonal subdifferential operators
, 2013 Summary: Let \(f\) be an equilibrium bifunction defined on the product space \(\mathbb X\times \mathbb X\), where \(\mathbb X\) is a Banach space. If \(f\) is locally Lipschitz with respect to the second variable, for every \(x\in \mathbb X\) we define \(T_f(x)\) as the Clarke subdifferential of \(f(x,\cdot)\) evaluated at \(x\).
CASTELLANI, MARCO, GIULI, MASSIMILIANO
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A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin +2 more
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The pseudomonotone polar for multivalued operators [PDF]
Optimization, 2017 In this work, we study the pseudomonotonicity of multivalued operators from the point of view of polarity, in an analogous way as the well-known monotone polar due to Martínez-Legaz and Svaiter, and the quasimonotone polar recently introduced by Bueno and Cotrina.
Bueno, Orestes, Cotrina, John
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Well Posedness of New Optimization Problems with Variational Inequality Constraints
Fractal and Fractional, 2021 In this paper, we studied the well posedness for a new class of optimization problems with variational inequality constraints involving second-order partial derivatives.
Savin Treanţă
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