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   Articles with "vector variational" as a keyword



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Expected Residual Minimization Formulation for a Class of Stochastic Vector Variational Inequalities

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recommendations! Published in 2017 at "Journal of Optimization Theory and Applications"

DOI: 10.1007/s10957-016-0939-5

Abstract: This paper considers a class of vector variational inequalities. First, we present an equivalent formulation, which is a scalar variational inequality, for the deterministic vector variational inequality. Then we concentrate on the stochastic circumstance. By… read more here.

Keywords: expected residual; vector variational; residual minimization; variational inequalities ... See more keywords
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Existence results for vector variational inequality problems on Hadamard manifolds

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recommendations! Published in 2020 at "Optimization Letters"

DOI: 10.1007/s11590-020-01562-7

Abstract: In this paper, we introduce and study vector variational inequality problems (VVIP) on Hadamard manifolds. The concepts of C -pseudomonotone, v -hemicontinuous and v -coercive operators are given. Some existence results for VVIP are obtained… read more here.

Keywords: hadamard manifolds; vector variational; inequality problems; variational inequality ... See more keywords
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Scalarization and Optimality Conditions for the Approximate Solutions to Vector Variational Inequalities in Banach Spaces

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recommendations! Published in 2021 at "Bulletin of the Iranian Mathematical Society"

DOI: 10.1007/s41980-020-00507-1

Abstract: In this paper, we present the notion of approximate solutions for vector variational inequalities in Banach spaces, which extends the existing approximate solutions. It is shown that, under the cone subconvexlikeness, our new approximate solutions… read more here.

Keywords: variational inequalities; approximate solutions; solutions vector; optimality conditions ... See more keywords
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A gap function and existence of solutions for a non-smooth vector variational inequality on Hadamard manifolds

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recommendations! Published in 2020 at "Optimization"

DOI: 10.1080/02331934.2020.1759057

Abstract: In the present paper, a gap function for a non-smooth mixed weak vector variational inequality involving generalized gradient on Hadamard manifolds is obtained. A non-trivial example is presented to illustrate the relationship between a gap… read more here.

Keywords: non smooth; vector variational; gap function; variational inequality ... See more keywords
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A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem

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recommendations! Published in 2021 at "Journal of Function Spaces"

DOI: 10.1155/2021/4488217

Abstract: In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in… read more here.

Keywords: like inequality; inequality problem; nonlinear vector; variational like ... See more keywords