LOCAL COMPLETENESS, LOWER SEMI CONTINUOUS FROM ABOVE FUNCTIONS AND EKELAND'S PRINCIPLE

被引：0

作者：

Bosch, Carlos ^{[1
]}

Leal, Rene ^{[1
]}

机构：

[1] Inst Tecnol Autonomo Mexico, Dept Matemat, Mexico City 01000, DF, Mexico

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 02期

关键词：

locally complete spaces; lower semi-continuity from above; variational principle; fixed point; minimization; equilibrium; VARIATIONAL PRINCIPLE; DROP THEOREM; COMPLETE SPACES;

D O I：

10.4134/BKMS.2014.51.2.437

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove Eke land'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.

引用

页码：437 / 442

页数：6

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