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

Parin  Chaipunya; Poom  Kumam

doi:10.3934/proc.2015.0248

Article Contents

2015, Volume 2015: 248-257. Doi: 10.3934/proc.2015.0248 open access

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

Parin Chaipunya^1, and
Poom Kumam^1,

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

Received: July 31, 2014

Revised: April 30, 2015

Published: October 2015

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Abstract

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.

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Mathematics Subject Classification: Primary: 47H09, 47H10; Secondary: 34A08.

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