Ekeland’s Variational Principle and Some Related Issues

نویسندگان

  • DINH Ngoc Quy
  • Dinh Ngoc Quy
  • Samir Adly
چکیده

We introduce several new kinds of inferior and superior limits and corresponding kinds of semicontinuity of a set-valued map. Together with the known concepts of semicontinuity, they can be used to have a clearer insight of local behaviors of maps. Then we investigate all major semicontinuity properties of solution maps to a general quasivariational inclusion. Consequences are derived for several particular problems, including some connections to Ekeland’s variational principle.

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تاریخ انتشار 2011