Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LOCAL COMPLETENESS, LOWER SEMI CONTINUOUS FROM ABOVE FUNCTIONS AND EKELAND'S PRINCIPLE

  • Bosch, Carlos (Departmento de Matematicas Instituto Tecnologico Autonomo de Mexico) ;
  • Leal, Rene (Departmento de Matematicas Instituto Tecnologico Autonomo de Mexico)
  • Received : 2012.10.12
  • Published : 2014.03.31
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Abstract

In this paper we prove Ekeland's variational principle in the setting of locally complete spaces for lower semi continuous functions from above and bounded below. We use this theorem to prove Caristi's fixed point theorem in the same setting and also for lower semi continuous functions.

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References

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