On monotone contraction mappings in modular function spaces

Monther R. Alfuraidan; Mostafa Bachar; Mohamed A. Khamsi

doi:10.1186/s13663-015-0274-9

On monotone contraction mappings in modular function spaces

Monther R. Alfuraidan
, Mostafa Bachar^*
, Mohamed A. Khamsi

^*Corresponding author for this work

Department of Mathematics

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

7 Scopus citations

Abstract

We prove the existence of fixed points of monotone-contraction mappings in modular function spaces. This is the modular version of the Ran and Reurings fixed point theorem. We also discus the extension of these results to the case of pointwise monotone-contraction mappings in modular function spaces.

Original language	English
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13663-015-0274-9
State	Published - 2015

Bibliographical note

Publisher Copyright:
© 2015, Alfuraidan et al.; licensee Springer.

Keywords

fixed point
modular function space
monotone mappings
pointwise contraction

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

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10.1186/s13663-015-0274-9

Cite this

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title = "On monotone contraction mappings in modular function spaces",

abstract = "We prove the existence of fixed points of monotone-contraction mappings in modular function spaces. This is the modular version of the Ran and Reurings fixed point theorem. We also discus the extension of these results to the case of pointwise monotone-contraction mappings in modular function spaces.",

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AU - Bachar, Mostafa

AU - Khamsi, Mohamed A.

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AB - We prove the existence of fixed points of monotone-contraction mappings in modular function spaces. This is the modular version of the Ran and Reurings fixed point theorem. We also discus the extension of these results to the case of pointwise monotone-contraction mappings in modular function spaces.

KW - fixed point

KW - modular function space

KW - monotone mappings

KW - pointwise contraction

UR - https://www.scopus.com/pages/publications/84923848748

U2 - 10.1186/s13663-015-0274-9

DO - 10.1186/s13663-015-0274-9

M3 - Article

AN - SCOPUS:84923848748

SN - 1687-1820

VL - 2015

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

ER -

On monotone contraction mappings in modular function spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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