共被期刊论文引用了3次
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| 1 | QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN BANACH SPACES显示文摘In this paper,we solve the quadratic p-functional inequalities‖f(x+y)+f(x-y)-2f(x)-2f(y)‖≤‖ρ(2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y))‖,(0.1)where ρ is a fixed complex number with |ρ| < 1,and‖2f((x+y)/2)+2f((x-y)/2)-f(x)-f(y)‖≤‖ρ(f(x+y)+f(x-y)-2f(x)-2f(y))‖,(0.2)where ρ is a fixed complex number with |ρ| < 1/2.Using the direct method,we prove the Hyers-Ulam stability of the quadratic ρ-functional inequalities(0.1) and(0.2) in complex Banach spaces and prove the Hyers-Ulam stability of quadratic ρ-functional equations associated with the quadratic ρ-functional inequalities(0.1)and(0.2) in complex Banach spaces. | Choonkil PARK | 2015 | Acta Mathematica Scientia2015，35，6： | 1 |
| 2 | ON THE HYERS-ULAM STABILITY OF AN EQUATION CHARACTERIZING MULTI-QUADRATIC MAPPINGS显示文摘In this article,we prove,both in complete non-Archimedean normed spaces and in 2-Banach spaces,the generalized Hyers-Ulam stability of an equation characterizing multiquadratic mappings.Our results generalize some known outcomes. | Krzysztof CIEPLINSKI Angelika SUROWCZYK | 2015 | Acta Mathematica Scientia2015，35，3： | 1 |
| 3 | ON AN EQUATION CHARACTERIZING MULTI-CAUCHY-JENSEN MAPPINGS AND ITS HYERS-ULAM STABILITY显示文摘In this paper,we give two characterizations of multi-Cauchy-Jensen mappings.One of them reduces the system of n equations defining these mappings to a single functional equation.We also prove,using the fixed point method,the generalized Hyers-Ulam stability of this equation.Our results generalize some known outcomes. | Anna BAHYRYCZ Krzysztof CIEPLINSKI Jolanta OLKO | 2015 | Acta Mathematica Scientia2015，35，6： | 0 |
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