Farkas-type results for inequality systems with composed convex functions via conjugate duality |
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Authors: | Radu Ioan Bo? Ioan Bogdan Hodrea |
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Institution: | Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany |
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Abstract: | We present some Farkas-type results for inequality systems involving finitely many functions. Therefore we use a conjugate duality approach applied to an optimization problem with a composed convex objective function and convex inequality constraints. Some recently obtained results are rediscovered as special cases of our main result. |
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Keywords: | Farkas-type results Composed convex functions Conjugate functions Conjugate duality |
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