On generalized Ekeland’s variational principle and equivalent formulations for set‐valued mappings

On generalized Ekeland’s variational principle and equivalent formulations for set‐valued mappings

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Article ID: iaor2013169
Volume: 49
Issue: 3
Start Page Number: 381
End Page Number: 396
Publication Date: Mar 2011
Journal: Journal of Global Optimization
Authors: ,
Keywords: mapping, variational relation problems
Abstract:

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.

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