FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

Sun Young JANG; Choonkil PARK

Makale detayları

FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

Yazarlar:

Sun Young JANG | Choonkil PARK

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 5, pp.711-723

Belge Tipi:

Makale

Yayın Tarihi:

4/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000453609

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

The fuzzy stability problems for the Cauchy quadratic functional equation and the Jensen quadratic functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. Th. M. Rassias introduced the following equality Xm i,j=1 kxi − xjk 2 = 2m Xm i=1 kxik 2 , Xm i=1 xi = 0, for a fixed integer m ≥ 3. By the above equality, we define the following functional equation(0.1) Xm i,j=1 f(xi − xj ) = 2m Xmi=1 f(xi), Xm i=1 xi = 0. In this paper, we prove the generalized Hyers-Ulam stability of the functional equation (0.1) in fuzzy Banach spaces.

Makale detayları

FUZZY STABILITY OF A FUNCTIONAL EQUATION RELATED TO INNER PRODUCT SPACES

Yazarlar: Sun Young JANG | Choonkil PARK

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 5, pp.711-723

Belge Tipi: Makale

Yayın Tarihi: 4/2011

Belge Dili: İngilizce

Document ID (Org No.): 2000453609

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Sun Young JANG | Choonkil PARK

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 5, pp.711-723

Belge Tipi:

Makale

Yayın Tarihi:

4/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000453609

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X