Implicit-relation-type cyclic contractive mappings and applications to integral equations

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Nashine H.K., Kadelburg Z., Kumam P.

Publisher: Hindawi

Publication year: 2012

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2012

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84874897836&doi=10.1155%2f2012%2f386253&partnerID=40&md5=e0802a9c8219fe97b2b97ba197b6d8a1

Languages: English-Great Britain (EN-GB)

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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. ฉ 2012 Hemant Kumar Nashine et al.

Keywords