한국수학교육학회지시리즈A:수학교육 (The Mathematical Education)
- 제25권3호
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- Pages.19-24
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- 1987
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
Equivalent Formulations of Zorn's Lemma and Other Maximum Principles
초록
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.
키워드