Affiliation:
1. The National Academy of Sciences, Republic of Korea, Seoul 06579; and Department of Mathematical Sciences, Seoul National University, Seoul 08826
Abstract
Recently, we improved our long-standing Metatheorem in Fixed Point Theory.
In this paper, as its applications, some well-known order theoretic fixed point theo-
rems are equivalently formulated to existence theorems on maximal elements, com-
mon fixed points, common stationary points, and others. Such theorems are the
ones due to Banach, Nadler, Browder-Göhde-Kirk, Caristi-Kirk, Caristi, Brøndsted,
and possibly many others.
Subject
Applied Mathematics,Analysis
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