Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's

• 鈴木, 智成

抄録

We give an example which says that Mizoguchi-Takahashi’s fixed pointtheorem for set-valued mappings is a real generalization of Nadler’s. The example isa counterexample to a recent result in Eldred, Anuradha and Veeramani [J. Math.Anal. Appl. (2007), doi:10.1016/j.jmaa.2007.01.087]. We also give a very simple proofof Mizoguchi-Takahashi’s theorem.

収録刊行物

• Journal of Mathematical Analysis and Applications

  Journal of Mathematical Analysis and Applications 340 (1), 752-755, 2008-04-01

  Elsevier

詳細情報

• CRID: 1050282813886502784
• NII論文ID: 120002441073
• ISSN: 0022247X
• HANDLE: 10228/1237
• Web Site: https://kyutech.repo.nii.ac.jp/records/834
• 本文言語コード: en
• 資料種別: journal article
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