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A new hyperstability result for the Apollonius equation on a restricted domain and some applications

Author:
El-Fassi, Iz-iddine  


Journal:
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS


Issue Date:
2018


Abstract(summary):

Let be an abelian group equipped with a complete ultrametric d that is invariant (i.e., ) for ), X be a normed space and be a nonempty subset. Under some weak natural assumptions on U and on the function , we study new hyperstability results when satisfy the following Apollonius inequality Moreover, we derive some consequences from our main results.


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