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.
CITATION STYLE
Abdou, A. A. N., & Khamsi, M. A. (2015). On common fixed points in modular vector spaces. Fixed Point Theory and Applications, 2015(1), 1–9. https://doi.org/10.1186/s13663-015-0478-z
Mendeley helps you to discover research relevant for your work.