Cauchy-Jensen additive mappings in quasi-Banach algebras and its applications

Najati, Abbas; Park, Choonkil

doi:10.5899/2013/jnaa-00191

Search citation statements

Order By: Relevance

Paper Sections

Select...

Theorem 15 Let F : E → F Be a Mapping Which Satisfies The I1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2015

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…for all x ∈ E. [3][4][5]7,9,[14][15][16]23]). Many research monographs are also available in functional equations, one can see [1,6,[11][12][13].…”

Section: Theorem 15 Let F : E → F Be a Mapping Which Satisfies The Imentioning

confidence: 99%

Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

Ravi

Rassias

Kumar³

2015

Arab. J. Math.

View full text Add to dashboard Cite

In this paper, we obtain the solution of a new generalized reciprocal type functional equation in two variables and investigate its generalized Hyers-Ulam stability in non-Archimedean fields. We also present the pertinent stability results of Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J. M. Rassias stability controlled by the mixed product-sum of powers of norms. Mathematics Subject Classification 39B82 · 39B72

show abstract

“…for all x ∈ E. [3][4][5]7,9,[14][15][16]23]). Many research monographs are also available in functional equations, one can see [1,6,[11][12][13].…”

Section: Theorem 15 Let F : E → F Be a Mapping Which Satisfies The Imentioning

confidence: 99%

Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

Ravi

Rassias

Kumar³

2015

Arab. J. Math.

View full text Add to dashboard Cite

show abstract

Cauchy-Jensen additive mappings in quasi-Banach algebras and its applications

Abstract: In this paper, we prove the Hyers-Ulam stability of homomorphisms in quasi-Banach algebras and of generalized derivations on quasi-Banach algebras for the following Cauchy-Jensen additive mappings:

Cited by 1 publication

References 27 publications

Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields

Contact Info

Product

Resources

About