Abstract
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.
| Original language | English |
|---|---|
| Article number | 229 |
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Dec 2015 |
Bibliographical note
Publisher Copyright:© 2015, Abdou and Khamsi.
Keywords
- Banach operator pair
- KKM-mapping
- electrorheological fluids
- fixed point
- modular function space
- modular metric space
- retraction
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics