d-ISOMETRIC LINEAR MAPPINGS IN LINEAR d-NORMED BANACH MODULES

Park, Choon-Kil; Rassias, Themistocles M.

doi:10.4134/jkms.2008.45.1.249

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Cited by 8 publications

(2 citation statements)

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“…More precisely, generalizing some outcomes from [23] and [1], we obtain the form of multi-Jensen functions in the case when V, W are commutative groups and V is uniquely divisible by 2. Moreover, we generalize some results from [16] and [1] dealing with the stability in the spirit of P. Gavruta (see [12] and also [21], [22]). …”

Section: Introductionmentioning

confidence: 57%

On Multi-Jensen Functions and Jensen Difference

Ciepliński¹

2008

Bulletin of the Korean Mathematical Society

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Abstract. In this paper we characterize multi-Jensen functions f : V n → W , where n is a positive integer, V, W are commutative groups and V is uniquely divisible by 2. Moreover, under the assumption that f : R → R is Borel measurable, we obtain representation of f (respectively, f, g, h : R → R) such that the Jensen difference(respectively, the Pexider differencetakes values in a countable subgroup of R.

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Section: Introductionmentioning

confidence: 57%

On Multi-Jensen Functions and Jensen Difference

Ciepliński¹

2008

Bulletin of the Korean Mathematical Society

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“…B. Jun, extended n-normed linear spaces to fuzzy n-normed linear spaces in [23]. We mention here the papers and monographs [3,5,7,11,13,15,18,19,20,21,22] and [25] concerning the isometries on metric spaces.…”

Section: Introductionmentioning

confidence: 99%