Cyclic generalized contractions and fixed point results with applications to an integral equation

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Nashine H.K., Sintunavarat W., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2012

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884677573&doi=10.1186%2f1687-1812-2012-217&partnerID=40&md5=827198f3b6c5268d10452c952501cd48

Languages: English-Great Britain (EN-GB)

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Abstract

We set up a new variant of cyclic generalized contractive mappings for a map in a metric space and present existence and uniqueness results of fixed points for such mappings. Our results generalize or improve many existing fixed point theorems in the literature. To illustrate our results, we give some examples. At the same time as applications of the presented theorems, we prove an existence theorem for solutions of a class of nonlinear integral equations. ฉ 2012 Nashine et al.; licensee Springer.

Keywords

Cyclic generalized (F, ψ, L)-contraction, Integral equation