On monotone Ćirić quasi-contraction mappings

M. Bachar; M. A. Khamsi

doi:10.7153/jmi-10-40

On monotone Ćirić quasi-contraction mappings

M. Bachar, M. A. Khamsi

Mathematics

College of Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We prove the existence of fixed points of monotone quasi-contraction mappings in metric and modular metric spaces. This is the extension of Ran and Reurings fixed point theorem for monotone contraction mappings in partially ordered metric spaces to the case of quasicontraction mappings introduced by Ćirić. The proofs are based on Lemmas 2.1 and 3.1, which contain two crucial inequalities essential to obtain the main results.

Original language	British English
Pages (from-to)	511-519
Number of pages	9
Journal	Journal of Mathematical Inequalities
Volume	10
Issue number	2
DOIs	https://doi.org/10.7153/jmi-10-40
State	Published - 2016

Keywords

Fixed point
Modular metric space
Monotone mappings
Quasi-contraction

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abstract = "We prove the existence of fixed points of monotone quasi-contraction mappings in metric and modular metric spaces. This is the extension of Ran and Reurings fixed point theorem for monotone contraction mappings in partially ordered metric spaces to the case of quasicontraction mappings introduced by {\'C}iri{\'c}. The proofs are based on Lemmas 2.1 and 3.1, which contain two crucial inequalities essential to obtain the main results.",

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Y1 - 2016

N2 - We prove the existence of fixed points of monotone quasi-contraction mappings in metric and modular metric spaces. This is the extension of Ran and Reurings fixed point theorem for monotone contraction mappings in partially ordered metric spaces to the case of quasicontraction mappings introduced by Ćirić. The proofs are based on Lemmas 2.1 and 3.1, which contain two crucial inequalities essential to obtain the main results.

AB - We prove the existence of fixed points of monotone quasi-contraction mappings in metric and modular metric spaces. This is the extension of Ran and Reurings fixed point theorem for monotone contraction mappings in partially ordered metric spaces to the case of quasicontraction mappings introduced by Ćirić. The proofs are based on Lemmas 2.1 and 3.1, which contain two crucial inequalities essential to obtain the main results.

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KW - Modular metric space

KW - Monotone mappings

KW - Quasi-contraction

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On monotone Ćirić quasi-contraction mappings

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Keywords

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