A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution
نویسندگان
چکیده
منابع مشابه
A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution
In 1940, Ulam 1 gave a wide ranging talk before the Mathematics Club of the University of Wisconsin in which he discussed a number of important unsolved problems. Among those was the question concerning the stability of group homomorphisms. Let G1 be a group and let G2 be a metric group with the metric d ·, · . Given ε > 0, does there exist a δ > 0 such that if a function h : G1→G2 satisfies th...
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* Correspondence: [email protected] Department of Mathematics Education, College of Education, Mokwon University, Daejeon, 302729, Korea Full list of author information is available at the end of the article Abstract Using the fixed-point method, we prove the generalized Hyers-Ulam stability of the functional equation f (x + y, z + w) + f (x− y, z− w) = 2f (x, z) + 2f (y,w). The quadratic for...
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2008
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2008/732086