𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Remarks on Caristi’s fixed point theorem and Kirk’s problem

✍ Scribed by Zhilong Li


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
238 KB
Volume
73
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis


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 and Khamsi's fixed point theorem since ϕ is not necessarily assumed to be bounded below on X .


📜 SIMILAR VOLUMES