On stability and hyperstability of an equation characterizing multi-additive mappings


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	On stability and hyperstability of an equation characterizing multi-additive mappings


	Fixed Point Theory, Volume 18, No. 2, 2017, 445-456, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.35 Authors: Anna Bahyrycz Abstract: In this paper, using the fixed point approach, we prove some stability and hyperstability results for an equation characterizing multi-additive mappings. Our results generalize some known outcomes. In particular, we give a solution of a problem concerning optimality of some estimations. Key Words and Phrases: Multi-additive mapping, Hyers-Ulam stability, hyperstability, fixed point theorem. 2010 Mathematics Subject Classification: 39B52, 39B55, 47H10. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents