10.1186/2251-7456-6-50

HUR stability of a generalized Apollonius type quadratic functional equation in non-Archimedean Banach spaces

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  • Hassan Azadi Kenary*1,
  • Yeol Je Cho2,
  1. Department of Mathematics, College of Sciences, Yasouj University, Yasouj, 75914-353, IR
  2. Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, 660-701, KR

Published in Issue 2012-10-12

How to Cite

Kenary, H. A., & Cho, Y. J. (2012). HUR stability of a generalized Apollonius type quadratic functional equation in non-Archimedean Banach spaces. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-50
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Abstract

Abstract Using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of the following generalized Apollonius type quadratic functional equation f∑i=1mzi−∑i=1mxi+f∑i=1mzi−∑i=1myi=12f∑i=1mxi−∑i=1myi+2f∑i=1mzi−∑i=1mxi+∑i=1myi2 in non-Archimedean Banach spaces.
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