IJPAM: Volume 74, No. 2 (2012)
STABILITY FOR MIXED TYPE OF ADDITIVE AND
QUADRATIC FUNCTIONAL EQUATION IN RANDOM
NORMED SPACES VIA FIXED POINT METHOD
QUADRATIC FUNCTIONAL EQUATION IN RANDOM
NORMED SPACES VIA FIXED POINT METHOD
Yang-Hi Lee
, Won-Gil Park
, Ick-Soon Chang
Department of Mathematics Education
Gongju National University of Education
Gongju 314-711, REPUBLIC OF KOREA
Department of Mathematics Education
Mokwon University
Daejeon, 302-729, REPUBLIC OF KOREA




Gongju National University of Education
Gongju 314-711, REPUBLIC OF KOREA

Mokwon University
Daejeon, 302-729, REPUBLIC OF KOREA
Abstract. In this paper, we prove the stability in random normed space via fixed point method for the
following additive and quadratic type functional equation
Received: December 13, 2011
AMS Subject Classification: 39B52, 39B72, 39B82, 43A22,46S40, 47B47
Key Words and Phrases: stability, additive mapping, cubic mapping, random normed space, Ulam-Gavruta-Rassias (or UGR), product of different powers of norms, JMRassias (or JMR), mixed product-sum of powers of norms
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 74
Issue: 2