\(F_{m}\)-contractive and \(F_{m}\)-expanding mappings in \(M\)-metric spaces

Volume 18, Issue 3, pp 262--271 http://dx.doi.org/10.22436/jmcs.018.03.02
Publication Date: March 22, 2018 Submission Date: December 07, 2017 Revision Date: January 31, 2018 Accteptance Date: February 03, 2018

Authors

Nabil Mlaiki - Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia


Abstract

Inspired by the work of Górnicki in his recent article [J. Górnicki, Fixed Point Theory Appl., \({\bf 2017}\) (2017), 10 pages], where he introduced a new class of self mappings called \(F\)-expanding mappings, in this paper we introduce the concept of \(F_{m}\)-contractive and \(F_{m}\)-expanding mappings in \(M\)-metric spaces. Also, we prove the existence and uniqueness of fixed point for such mappings.


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ISRP Style

Nabil Mlaiki, \(F_{m}\)-contractive and \(F_{m}\)-expanding mappings in \(M\)-metric spaces, Journal of Mathematics and Computer Science, 18 (2018), no. 3, 262--271

AMA Style

Mlaiki Nabil, \(F_{m}\)-contractive and \(F_{m}\)-expanding mappings in \(M\)-metric spaces. J Math Comput SCI-JM. (2018); 18(3):262--271

Chicago/Turabian Style

Mlaiki, Nabil. "\(F_{m}\)-contractive and \(F_{m}\)-expanding mappings in \(M\)-metric spaces." Journal of Mathematics and Computer Science, 18, no. 3 (2018): 262--271


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