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On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings. (English) Zbl 1216.49018
Summary: We propose a very weak type of generalized distances called a weak τ-function and use it to weaken the assumptions about lower semicontinuity in existing versions of Ekeland’s variational principle and equivalent formulations.

MSC:
49J53Set-valued and variational analysis
49J52Nonsmooth analysis (other weak concepts of optimality)
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