ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES

doi:10.1016/S0252-9602(16)30023-6

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 593-601.doi: 10.1016/S0252-9602(16)30023-6

ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES

Anna BAHYRYCZ, Magdalena PISZCZEK

Institute of Mathematics, Pedagogical University, Podchorazych 2, 30-084 Kraków, Poland

收稿日期:2014-12-04 修回日期:2015-01-08 出版日期:2016-04-25 发布日期:2016-04-25
作者简介:Anna BAHYRYCZ,E-mail:bah@up.krakow.pl;Magdalena PISZCZEK,E-mail:magdap@up.krakow.pl

ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES

Anna BAHYRYCZ, Magdalena PISZCZEK

Institute of Mathematics, Pedagogical University, Podchorazych 2, 30-084 Kraków, Poland

Received:2014-12-04 Revised:2015-01-08 Online:2016-04-25 Published:2016-04-25

摘要/Abstract

摘要：

We prove, using the fixed point approach, some results on hyperstability (in normed spaces) of the equation that defines the generalization of p-Wright affine functions and show that they yield a simple characterization of the complex inner product spaces.

关键词: Hyperstability, p-Wright affine function, complex inner product space, fixed point theorem

Abstract:

Key words: Hyperstability, p-Wright affine function, complex inner product space, fixed point theorem

中图分类号:

39B52

Anna BAHYRYCZ, Magdalena PISZCZEK. ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES[J]. 数学物理学报(英文版), 2016, 36(2): 593-601.

Anna BAHYRYCZ, Magdalena PISZCZEK. ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES[J]. Acta mathematica scientia,Series B, 2016, 36(2): 593-601.

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ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES

ON APPROXIMATELY (p, q)-WRIGHT AFFINE FUNCTIONS AND INNER PRODUCT SPACES

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