Set-Valued Quasi-Metrics and a General Ekeland's Variational Principle in Vector Optimization
Set-Valued Quasi-Metrics and a General Ekeland's Variational Principle in Vector Optimization
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Philadelphia: Society for Industrial and Applied Mathematics
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English
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Philadelphia: Society for Industrial and Applied Mathematics
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Contents
We introduce the notion of compatibility between a set-valued quasi-metric and the original metric. By using this notion we prove a general set-valued Ekeland's variational principle (EVP), where the perturbation contains a set-valued quasi-metric which is compatible with the original metric. Here, we need not assume that the order cone is $w$-norm...
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Full title
Set-Valued Quasi-Metrics and a General Ekeland's Variational Principle in Vector Optimization
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TN_cdi_proquest_miscellaneous_1349457632
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_1349457632
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ISSN
0363-0129
E-ISSN
1095-7138
DOI
10.1137/110824115
