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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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Using the fixed point method, we prove the Ulam-Hyers stability of the orthogonally additive and orthogonally quadratic functional equation f(x/2+y)+f(x/2−y)+f(x/2+z)+f(x/2−z)(0.1)=3/2f(x)−1/2f(−x)+f(y)+f(−y)+f(z)+f(−z) for all x, y, z with x ⊥ y, in orthogonality Banach spaces and in non-Archimedean orthogonality Banach spaces.
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참고문헌 (30)
참고문헌 신청
A. Khrennikov / 1997 / Non-Archimedean analysis: quantum paradoxes, dynamical systems and biological models, Mathematics and its Applications 427 / Kluwer Academic Publishers
A.K. Katsaras / 1999 / Tensor products of non-Archimedean weighted spaces of continuous functions / Georgian Math. J. 6 : 33 ~ 44
C.R. Diminnie / 1983 / A new orthogonality relation for normed linear spaces / Math. Nachr 114 : 197 ~ 203
D. Deses / 2005 / On the representation of non-Archimedean objects / Topology Appl 153 : 774 ~ 785
D. Mihet / 2008 / On the stability of the additive Cauchy functional equation in random normed spaces / J. Math. Anal. Appl 343 : 567 ~ 572
A.K. Katsaras / 1999 / Tensor products of non-Archimedean weighted spaces of continuous functions / Georgian Math. J. 6 : 33 ~ 44
C.R. Diminnie / 1983 / A new orthogonality relation for normed linear spaces / Math. Nachr 114 : 197 ~ 203
D. Deses / 2005 / On the representation of non-Archimedean objects / Topology Appl 153 : 774 ~ 785
D. Mihet / 2008 / On the stability of the additive Cauchy functional equation in random normed spaces / J. Math. Anal. Appl 343 : 567 ~ 572
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