Transitivity and variational principles

被引：1

作者：

Pasicki, Lech ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 16期

关键词：

Transitive relation; Kuratowski lemma; Cauchy sequence; Variational principle; Fixed point;

D O I：

10.1016/j.na.2011.05.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply an order reasoning to mappings satisfying the triangle inequality. This general approach yields the Ekeland's variational principle as one of the consequences. In addition we obtain an extension of the Brondsted variational principle and of the Takahashi fixed point theorem. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：5678 / 5684

页数：7

共 13 条

[1]

ALTMAN M, 1981, NONLINEAR ANAL, V6, P157

[2] GENERAL PRINCIPLE ON ORDERED SETS IN NONLINEAR FUNCTIONAL-ANALYSIS [J].