IJPAM: Volume 77, No. 3 (2012)
STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY
WITH THE FIXED POINT ALTERNATIVE
WITH THE FIXED POINT ALTERNATIVE
Won-Gil Park
, Mi Hyun Han
Department of Mathematics Education
College of Education
Mokwon University
Daejeon, 302-729, REPUBLIC OF KOREA
Departament of Mathematics
Chungnam National University
220, Yuseong-Gu, Daejeon, 305-764, REPUBLIC OF KOREA



College of Education
Mokwon University
Daejeon, 302-729, REPUBLIC OF KOREA

Chungnam National University
220, Yuseong-Gu, Daejeon, 305-764, REPUBLIC OF KOREA
Abstract. In this paper, we prove the generalized Hyers-Ulam stability of the additive functional inequality
by using a fixed point method in Banach spaces.
Received: March 7, 2012
AMS Subject Classification: 39B82, 46Bxx
Key Words and Phrases: additive functional inequality, Banach space, fixed point alternative
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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: 77
Issue: 3