Abstract
In this chapter we establish several existence results for minimal points with respect to transitive relations; then we apply them in topological vector spaces for quasiorders generated by convex cones. We continue with the presentation of several types of convex cones and compactness notions with respect to cones. We end the chapter with existence results for vector and set optimization problems.
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Khan, A.A., Tammer, C., Zălinescu, C. (2015). Existence Results for Minimal Points. In: Set-valued Optimization. Vector Optimization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54265-7_9
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DOI: https://doi.org/10.1007/978-3-642-54265-7_9
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