Fixed-Point Theorems and Difference Equations with Nonempty Set of Bounded Solutions

We present new fixed-point theorems for mappings acting on a metric space and establish conditions for the existence of bounded solutions of difference equations.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-04, Vol.238 (3), p.302-315
Main Author: Slyusarchuk, V. Yu
Format: Article
Language:English
Subjects:
Difference equations
Fixed points (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
Metric space
Theorems
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Description
Summary:We present new fixed-point theorems for mappings acting on a metric space and establish conditions for the existence of bounded solutions of difference equations.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04237-6