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

Joint Authors

Kadelburg, Zoran
Kumam, Poom
Nashine, Hemant Kumar

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-10-03

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Nashine, Hemant Kumar& Kadelburg, Zoran& Kumam, Poom. 2012. Implicit-Relation-Type Cyclic Contractive Mappings and Applications to Integral Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-468005

Modern Language Association (MLA)

Nashine, Hemant Kumar…[et al.]. Implicit-Relation-Type Cyclic Contractive Mappings and Applications to Integral Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-468005

American Medical Association (AMA)

Nashine, Hemant Kumar& Kadelburg, Zoran& Kumam, Poom. Implicit-Relation-Type Cyclic Contractive Mappings and Applications to Integral Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-468005

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-468005