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The Scientific World Journal
Volume 2013, Article ID 129637, 5 pages
Research Article

Inclusions in a Single Variable in Ultrametric Spaces and Hyers-Ulam Stability

Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Received 7 August 2013; Accepted 2 September 2013

Academic Editors: G. Dai and F. J. Garcia-Pacheco

Copyright © 2013 Magdalena Piszczek. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present some properties of set-valued inclusions in a single variable in ultrametric spaces. As a consequence, we obtain stability results for the corresponding functional equations.