Recent contributions to fixed point theory of monotone mappings

In this manuscript, we discuss the latest fixed point results of monotone mappings. The fixed point theory of such mappings has seen a tremendous interest in the last decade since the publication of Ran and Reurings paper in 2004. Fixed point theory for monotone mappings is useful and has many appli...

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Bibliographic Details
Published in:Journal of fixed point theory and applications 2017-09, Vol.19 (3), p.1953-1976
Main Authors: Bachar, M., Khamsi, M. A.
Format: Article
Language:English
Subjects:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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Summary:In this manuscript, we discuss the latest fixed point results of monotone mappings. The fixed point theory of such mappings has seen a tremendous interest in the last decade since the publication of Ran and Reurings paper in 2004. Fixed point theory for monotone mappings is useful and has many applications. For example when one is looking for a positive or negative solution, the use of the classical fixed point results is not adapted in this situation.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-016-0339-3