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Existence results for vector variational inequality problems on Hadamard manifolds

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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… Click to show full 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 with the assumptions of C -pseudomonotonicity and v -hemicontinuity. These new results extend some corresponding known results given in literatures.

Keywords: hadamard manifolds; vector variational; inequality problems; variational inequality; existence results

Journal Title: Optimization Letters
Year Published: 2020

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