Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 52620, 8 pages
doi:10.1155/JAMSA/2006/52620

Existence of solutions of a special class of fuzzy integral equations

K. Balachandran1 and K. Kanagarajan2

1Department of Mathematics, Bharathiar University, Coimbatore 641046, India
2Department of Mathematics, Karpagam College of Engineering, Coimbatore 641032, India

Received 30 July 2005; Revised 25 February 2006; Accepted 26 February 2006

Copyright © 2006 K. Balachandran and K. Kanagarajan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove an existence theorem for a special class of fuzzy integral equations involving fuzzy set-valued mappings. The results are obtained by using the contraction mapping principle.