Results 1 to 10 of about 4,393,520 (278)
Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
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A Variation-of-Parameters Inequality [PDF]
Proceedings of the American Mathematical Society, 1970 Recent work in stability theory for linear ordinary differential equations has made much use of the inequalities which can be deduced from the variation-of-parameters formula. In this article it is shown that similar inequalities hold for nonlinear Stieltjes integral equations and hence, as a special case, for nonlinear differential equations in which ...
David Lowell Lovelady
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On nonlinear variational inequalities [PDF]
Proceedings of the American Mathematical Society, 1977 In this note we have given a direct proof of the result which states that if K is a compact convex subset of a linear Hausdorff topological space E over the reals and T is a monotone and hemicontinuous (nonlinear) mapping of K into E ∗ {E^ \ast } , then there is a ...
E Tarafdar
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Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces [PDF]
Journal of Inequalities and Applications, 2017 The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach space.
Lu-Chuan Ceng +2 more
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Split general quasi-variational inequality problem [PDF]
arXiv, 2013 In this paper, we introduce a split general quasi-variational inequality problem which is a natural extension of split variational inequality problem, quasi-variational and variational inequality problems in Hilbert spaces. Using projection method, we propose an iterative algorithm for the split general quasi-variational inequality problem and discuss ...
K. Kazmi
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Disequilibrium and variational inequalities
Journal of Computational and Applied Mathematics, 1990 AbstractIn this paper we introduce a new market disequilibrium model in a spatial economic setting, which generalizes a recent spatial disequilibrium model to the asymmetric case. We derive two alternative variational inequality formulations of the market conditions, in the case of price rigidities and/or controls, and discuss existence and uniqueness ...
Anna Nagurney, Lan Zhao
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Variational Inequalities Revisited [PDF]
, 1986 This chapter solves the variational inequalities (or generalized equations). The chapter defines the lack of boundedness of K that is measured by its barrier cone, b(K). The degree of monotonicity of A is measured by a non-negative proper lower semicontinuous function β from X to ∪{+∞}. The chapter proves that the set-valued map A is β-monotone.
Jean‐Pierre Aubin
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Complexity, 2021 In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
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Journal of Inequalities and Applications, 2020 This paper deals with solvability and algorithms for a new class of generalized nonlinear variational-like inequalities in reflexive Banach spaces. By employing the Banach’s fixed point theorem, Schauder’s fixed point theorem, and FanKKM theorem, we ...
Haiyan Gao, Lili Wang, Liangshi Zhao
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On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal of Mathematics, 2021 We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are ...
Lu-Chuan Ceng +5 more
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