On Pexider Differences in Topological Vector Spaces | Zendy

Abbas Najati | Zendy; Mohammad Reza Abdollahpour | Zendy; Gwang Hui Kim | Zendy

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On Pexider Differences in Topological Vector Spaces

Author(s) -

Abbas Najati,

Mohammad Reza Abdollahpour,

Gwang Hui Kim

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/370104

Subject(s) - hausdorff space , mathematics , topological vector space , normed vector space , locally convex topological vector space , vector space , topological space , pure mathematics , topological tensor product , functional equation , vector field , space (punctuation) , normal space , topology (electrical circuits) , functional analysis , mathematical analysis , combinatorics , differential equation , computer science , geometry , biochemistry , chemistry , gene , operating system

Let be a normed space and a sequentially complete Hausdorff topological vector space over the field ℚ of rational numbers. Let 1={(,)∈×∶‖‖+‖‖≥}, and 2={(,)∈×∶‖‖+‖‖<} where >0. We prove that the Pexiderized Jensen functional equation is stable for functions defined on 1(2), and taking values in . We consider also the Pexiderized Cauchy functional equation

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