On fixed points of asymptotically regular mappings

We prove some fixed point theorems for asymptotically regular self-mappings, not necessarily orbitally continuous or k -continuous, on complete metric spaces. Our results extend several recent results in the literature. An extension for multi-valued mappings with δ -distance is also presented. Some...

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Bibliographic Details
Published inRendiconti del Circolo matematico di Palermo Vol. 70; no. 2; pp. 709 - 719
Main Author Nguyen, Luong V.
Format Journal Article
LanguageEnglish
Published Milan Springer Milan 01.08.2021
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Asymptotic properties
Fixed points (mathematics)
Geometry
Mathematics
Mathematics and Statistics
Metric space
Multi-valued maps
Orbital lower semi-continuity
47H09
Asymptotic regularity
54C60
Fixed point
55M20
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Summary:We prove some fixed point theorems for asymptotically regular self-mappings, not necessarily orbitally continuous or k -continuous, on complete metric spaces. Our results extend several recent results in the literature. An extension for multi-valued mappings with δ -distance is also presented. Some examples are given to illustrate our results.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-020-00527-0