Abstract. We investigate the relations between metric completeness and order completeness and obtain characterizations of metric completeness using fixed point theorems and the existence of maximal elements, respectively.
AMS Subject Classification
(1991): 54E50, 54H25
Keyword(s):
Completeness,
fixed point,
stationary point,
maximal element
Received July 19, 1995. (Registered under 5729/2009.)
|