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Mesh variational r-adaptivity for sharp modeling of brittle fracture

Dony G, Moës N, Remacle J.
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Optimality Conditions for Vector Optimization Problems

Journal of Optimization Theory and Applications, 2009
The paper considers vector optimization problems (VOP) of the form \[ \min F(x) \text{ subject to } u_i(x) \leq 0, i\in\{1, \dots, m\}; v_j(x) =0, j\in\{1, \dots, n\}, \] where \(F:X \rightarrow \mathbb{R}^L\) and \(u_i, v_j: X\rightarrow \mathbb{R}\) and \(X\) is a Banach space.
Huang, N. J., Li, J., Wu, S. Y.
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Vector Optimization Problems via Improvement Sets

Journal of Optimization Theory and Applications, 2011
The authors introduce the concept of improvement sets and optimal points with respect to the preference relation given by an improvement set (a nonempty set \(E\) in \(\mathbb R^n\) is called an improvement set if it does not contain the origin and has a free disposal property: \(E+\mathbb R^n_+ \subseteq E\); and a point \(a\) of a nonempty set \(A ...
CHICCO, MAURIZIO, MIGNANEGO F, PUSILLO, ANGELA LUCIA, TIJS S.   +3 more
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Vector equilibrium problem and vector optimization

European Journal of Operational Research, 1999
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Goh, C. J., Yang, X. Q.
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