APPROXIMATION OF CAUCHY ADDITIVE MAPPINGS
Copyright policy ) Jai-Ok Roh; Hui-Joung Shin;
APPROXIMATION OF CAUCHY ADDITIVE MAPPINGS
In this paper, we prove that a function satisfying the following inequality ‖ f(x) + 2f(y) + 2f(z) ‖ ≤ ‖ 2f( 2 + y + z) ‖+ 2(‖ x ‖ · ‖ y ‖ · ‖ z ‖) for all x, y, z ∈ X and for 2 ≥ 0, is Cauchy additive. Moreover, we will investigate for the stability in Banach spaces.
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Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 4
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