【11/21專題演講】高雄師範大學杜威仕教授-On Caristi's fixed point theorem: Its new and simple proofs, generalization and equivalence
主講人:杜威仕 教授 (高雄師範大學)
講題:On Caristi's fixed point theorem: Its new and simple proofs, generalization and equivalence
時間:105年11月21日(星期一)下午3:00-5:00
地點:民生校區五育樓4樓401教室
摘要
In this talk, we give two new and simple proofs of Caristi's fixed point theorem without using Zorn's lemma, transfinite induction and any well-known principle. We introduce the concept of essential distance which generalizes the concept of τ-function. A generalization of Caristi's fixed point theorem and its equivalent theorems for essential distances are established.
講題:On Caristi's fixed point theorem: Its new and simple proofs, generalization and equivalence
時間:105年11月21日(星期一)下午3:00-5:00
地點:民生校區五育樓4樓401教室
摘要
In this talk, we give two new and simple proofs of Caristi's fixed point theorem without using Zorn's lemma, transfinite induction and any well-known principle. We introduce the concept of essential distance which generalizes the concept of τ-function. A generalization of Caristi's fixed point theorem and its equivalent theorems for essential distances are established.
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