Approximately <em>p</em>-Wright affine functions, inner product spaces and derivations


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	Approximately p-Wright affine functions, inner product spaces and derivations


	Fixed Point Theory, Volume 18, No. 1, 2017, 69-84, March 1st, 2017 DOI: 10.24193/fpt-ro.2017.1.07 Authors: Anna Bahyrycz, Janusz Brzdęk and Magdalena Piszczek Abstract: We prove a result on hyperstability (in normed spaces) of the equation that defines the p-Wright affine functions and show that it yields a simple characterization of complex inner product spaces. We also obtain in this way some inequalities describing derivations, Lie derivations and Lie homomorphisms. Key Words and Phrases: Hyperstability, p-Wright affine function, inner product space, derivation, Lie derivation, Lie homomorphism, fixed point theorem. 2010 Mathematics Subject Classification: 16W25, 39B52, 39B62, 39B82, 46C99, 47J99. Published on-line: March 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents