On the existence of minimal elements in partially ordered sets
نویسنده
چکیده
In this work, we give a characterization of the existence of minimal elements in partially ordered sets in terms of fixed point type statement. This characterization shows that the assumptions in Caristi’s fixed point theorem can, a priori, be weakened. Finally, we give a negative answer to Kirk’s problem on an extension of Caristi’s result.
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تاریخ انتشار 2004