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On common fixed points in modular vector spaces
Journal article   Open access  Peer reviewed

On common fixed points in modular vector spaces

Afrah An Abdou and Mohamed A. Khamsi
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-9
01/12/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we discuss the concept of Banach operator pairs in modular vector spaces. We prove the existence of common fixed points for these type of operators which satisfy a modular continuity in modular compact sets. On the basis of our result, we are able to give an analog of DeMarr's common fixed point theorem for a family of symmetric Banach operator pairs in modular vector spaces.
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https://doi.org/10.1186/s13663-015-0478-zView
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