Interative schemes for solving mixed variational-like inequalites1,2
Journal of Optimization Theory and Applications
Vector optimization and variational-like inequalities
Journal of Global Optimization
Vector optimization problem and generalized convexity
Journal of Global Optimization
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Let $$\cal L$$(X, Z) be the space of continuous linear mappings between topological vector spaces, where Z is Hausdorff and preordered by a closed convex cone C. In this paper, we introduce a notion of semicontinuity to any function from a topological space into X. A notion of semicontinuity is also introduced to any function from a topological space into $$\cal L$$(X, Z). These two notions of semicontinuity are related by the embedding of X into $$\cal L$$(X, Z). Their basic properties are given. As an application, we derive some existence results for the mixed vector variational-like inequality.