## Abstract and Applied Analysis

### Implicit-Relation-Type Cyclic Contractive Mappings and Applications to Integral Equations

#### Abstract

We introduce an implicit-relation-type cyclic contractive condition for a map in a metric space and derive existence and uniqueness results of fixed points for such mappings. Examples are given to support the usability of our results. At the end of the paper, an application to the study of existence and uniqueness of solutions for a class of nonlinear integral equations is presented.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 386253, 15 pages.

Dates
First available in Project Euclid: 28 March 2013

https://projecteuclid.org/euclid.aaa/1364475857

Digital Object Identifier
doi:10.1155/2012/386253

Mathematical Reviews number (MathSciNet)
MR2984018

Zentralblatt MATH identifier
06116383

#### Citation

Nashine, Hemant Kumar; Kadelburg, Zoran; Kumam, Poom. Implicit-Relation-Type Cyclic Contractive Mappings and Applications to Integral Equations. Abstr. Appl. Anal. 2012 (2012), Article ID 386253, 15 pages. doi:10.1155/2012/386253. https://projecteuclid.org/euclid.aaa/1364475857

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