Zorn 의 보조 정리와 다른 최대 정리와의 동치화 = Equivalent Formulations of Zorn's Lemma and Other Maximum Principles

다국어 초록 (Multilingual Abstract)

In this paper, we give a result that maximum principles including Zorn`s lemma can be regarded as various types of fixed point theorems. Our main application is that the well-known ordering principles in nonlinear analysis including the Bishop-Phelps argument and a number of its generalizations can be converted to fixed point theorems and vice versa. Consequently, we obtain new results and unify many known results.