NDLI: Around Browder’s fixed point theorem for contractions

Content Provider	Springer Nature Link
Author	Jachymski, Jacek
Copyright Year	2008
Abstract	We revisit a fixed point theorem for contractions established by Felix Browder in 1968. We show that many definitions of contractive mappings which appeared in the literature after 1968 turn out to be equivalent formulations or even particular cases of Browder’s definition. We also discuss the problem of the existence of approximate fixed points of continuous mappings; in particular, we settle it in the affirmative for Browder contractions. Finally, we recall three problems concerning Browder contractions which remain unsolved.
Starting Page	47
Ending Page	61
Page Count	15
File Format	PDF
ISSN	16617738
Journal	Journal of Fixed Point Theory and Applications
Volume Number	5
Issue Number	1
e-ISSN	16617746
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2008-12-22
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Approximate fixed point contractive fixed point φ-contractive mapping Browder’s fixed point theorem Fixed-point theorems Continuous maps Mathematics Analysis Mathematical Methods in Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Modeling and Simulation

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Around Browder’s fixed point theorem for contractions