Vector variational principle |
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Authors: | Ewa M. Bednarczuk Dariusz Zagrodny |
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Affiliation: | (1) Department of Mathematics, National Changhua University of Education, Changhua, 50058, Taiwan |
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Abstract: | We prove an Ekeland’s type vector variational principle for monotonically semicontinuous mappings with perturbations given by a convex bounded subset of directions multiplied by the distance function. This generalizes the existing results where directions of perturbations are singletons. |
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