pexiderized cauchy functional equation
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scholarly journals On Pexider Differences in Topological Vector Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Abbas Najati ◽  
M. R. Abdollahpour ◽  
Gwang Hui Kim
Keyword(s):  
Functional Equation ◽  
Normed Space ◽  
Rational Numbers ◽  
Vector Spaces ◽  
Cauchy Functional Equation ◽  
Topological Vector Spaces ◽  
Hausdorff Topological Vector Space ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
Pexiderized Cauchy Functional Equation

Let be a normed space and a sequentially complete Hausdorff topological vector space over the field of rational numbers. Let and where . We prove that the Pexiderized Jensen functional equation is stable for functions defined on and taking values in . We consider also the Pexiderized Cauchy functional equation.

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