Title of article
A stationary point theorem characterizing metric completeness
Author/Authors
Jachymski، نويسنده , , Jacek، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
3
From page
169
To page
171
Abstract
We give a stationary point theorem for some set-valued mappings on a metric space. The existence of fixed points of such mappings characterizes the metric completeness. Our result easily yields the order-theoretic Cantor theorem of Granas and Horvath, and the famous Ekeland variational principle.
Keywords
Set-Valued Mapping , partial order , Fixed point , Stationary point , Metric completeness
Journal title
Applied Mathematics Letters
Serial Year
2011
Journal title
Applied Mathematics Letters
Record number
1527560
Link To Document