Without assumptions on the continuity and the subadditivity of η, by means of Caristi's fixed point theorem, we investigated the existence of fixed points for a Caristi type mapping which partially answered Kirk's problem and improved Caristi's fixed point theorem, Jachymski's fixed point theorem an
On Downing–Kirk's theorem
✍ Scribed by Tomonari Suzuki
- Book ID
- 104151120
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 158 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, using the notion of τ -distance, we prove a generalization of Downing-Kirk's theorem.
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