# American Institute of Mathematical Sciences

2015, 2015(special): 248-257. doi: 10.3934/proc.2015.0248

## Fixed point theorems for cyclic operators with application in Fractional integral inclusions with delays

 1 Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand, Thailand

Received  August 2014 Revised  May 2015 Published  November 2015

We investigate the existence of fixed points for a very general class of cyclic implicit contractive set-valued operators. We also point out that this class contains an important case of ordered contractions. As an application, we show the solvability of delayed fractional integral inclusion problems.
Citation: Parin Chaipunya, Poom Kumam. Fixed point theorems for cyclic operators with application in Fractional integral inclusions with delays. Conference Publications, 2015, 2015 (special) : 248-257. doi: 10.3934/proc.2015.0248
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