On functional equations related to additive mappings and isometries
نویسندگان
چکیده
منابع مشابه
Orthogonal stability of mixed type additive and cubic functional equations
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*Correspondence: [email protected]; [email protected] 2Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia 3Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju, 660-701, Korea Full list of author information is available at the end of the article Abstract In this paper, we establish the generalized Hyers-Ulam stability problem of...
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The functional inequality ‖f x 2f y 2f z ‖ ≤ ‖2f x/2 y z ‖ φ x, y, z x, y, z ∈ G is investigated, where G is a group divisible by 2, f : G→ X and φ : G3 → 0,∞ are mappings, and X is a Banach space. The main result of the paper states that the assumptions above together with 1 φ 2x,−x, 0 0 φ 0, x,−x x ∈ G and 2 limn→∞ 1/2 φ 2 1x, 2y, 2z 0, or limn→∞2φ x/2n−1, y/2, z/2 0 x, y, z ∈ G , imply that ...
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ژورنال
عنوان ژورنال: Aequationes mathematicae
سال: 2014
ISSN: 0001-9054,1420-8903
DOI: 10.1007/s00010-014-0275-5