scholarly journals Fixed point classes on symmetric product spaces

2010 ◽  
Vol 157 (10-11) ◽  
pp. 1859-1871 ◽  
Author(s):  
Xuezhi Zhao
Keyword(s):  
Fixed Point ◽  
Symmetric Product ◽  
Product Spaces

Hybrid reduced and symmetric product spaces

1979 ◽  
Vol 168 (3) ◽  
pp. 213-221
Author(s):  
Michael H. Eggar
Keyword(s):  
Symmetric Product ◽  
Product Spaces

COINCIDENCE AND FIXED POINT THEOREMS ON PRODUCT SPACES

1997 ◽  
Vol 30 (1) ◽  
Author(s):  
U. C. Gairola ◽  
S. N. Mishra ◽  
S. L. Singh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Product Spaces

scholarly journals The Fixed Point Method for Fuzzy Approximation of a Functional Equation Associated with Inner Product Spaces

2010 ◽  
Vol 2010 ◽  
pp. 1-15 ◽  
Author(s):  
M. Eshaghi Gordji ◽  
H. Khodaei
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Vector Space ◽  
Fixed Point Method ◽  
Inner Product ◽  
Product Spaces ◽  
Real Vector ◽  
Fixed Integer ◽  
Inner Product Spaces ◽  
Fuzzy Approximation

Th. M. Rassias (1984) proved that the norm defined over a real vector space is induced by an inner product if and only if for a fixed integer holds for all The aim of this paper is to extend the applications of the fixed point alternative method to provide a fuzzy stability for the functional equation which is said to be a functional equation associated with inner product spaces.

scholarly journals Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Anna Bahyrycz ◽  
Janusz Brzdęk ◽  
Magdalena Piszczek ◽  
Justyna Sikorska
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Main Tool ◽  
Inner Product ◽  
Product Spaces ◽  
Inner Product Spaces ◽  
Fréchet Equation ◽  
New Inequalities

We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces. We finish the paper with some new inequalities characterizing the inner product spaces.

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