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On monotone contraction mappings in modular function spaces
Journal article   Open access  Peer reviewed

On monotone contraction mappings in modular function spaces

Monther R. Alfuraidan, Mostafa Bachar and Mohamed A. Khamsi
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-11
24/02/2015
DOI: https://doi.org/10.1186/s13663-015-0274-9

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1186/s13663-015-0274-9View
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