Some Deterministic and Random Vector Equilibrium Problems |
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Authors: | El Mostafa Kalmoun |
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Institution: | Université Cadi Ayyad, Faculté des Sciences I Semlalia, Mathématiques, B.P. 2390, Marrakech, 40000, Moroccof1ekalmoun@ucam.ac.maf1 |
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Abstract: | In this paper, some generalized concepts about semicontinuity and convexity for vector-valued bifunctions are introduced. A new existence theorem for vector equilibrium problems is proved. Further, a random version of this result is considered. Applications to cone saddle points, random vector optimization, random vector variational inequalities, and random vector best approximation problems are finally given. |
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