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http://dx.doi.org/10.4134/BKMS.2014.51.2.437

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.2, 2014 , pp. 437-442 More about this Journal

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.

Keywords

locally complete spaces; lower semi-continuity from above; variational principle; fixed point; minimization; equilibrium;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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