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A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL MIXED ADDITIVE-CUBIC EQUATION ON BANACH MODULES
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作者 许天周 Rassias John Michael 许婉欣 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期866-892,共27页
Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation: f(kx + y) + f(kx - y) = kf(x + y) + kf(x - y) + 2f(kx) - 2kf(x) in Banach mod... Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation: f(kx + y) + f(kx - y) = kf(x + y) + kf(x - y) + 2f(kx) - 2kf(x) in Banach modules over a unital Banach algebra. 展开更多
关键词 Banach module stability additive function cubic function unital Banach algebra generalized metric space FIXED-POINT JMRassias (or JMR) mixed product-sum of powers of norms
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