Generalized Suzuki type Z-contraction in complete metric spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Padcharoen A., Kumam P., Saipara P., Chaipunya P.

Publisher: University of Kragujevac, Faculty of Science

Publication year: 2018

Volume number: 42

Issue number: 3

Start page: 419

End page: 430

Number of pages: 12

ISSN: 1450-9628

eISSN: 1450-9628

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85053727466&partnerID=40&md5=3561edbff723d3178055c5f2ec9edb2e

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce the notion of Suzuki type Z-contraction and study the corresponding fixed point property. This kind of contraction generalizes the Banach contraction and unifies several known type of nonlinear contractions. We consider a nonlinear operator satisfying a nonlinear contraction in a metric space and prove fixed point results. As an application, we apply our result to show the solvability of nonlinear Hammerstein integral equations. ฉ University of Kragujevac - Faculty of Science, 2018.

Keywords

Nonlinear Hammerstein integral equations