Abstract
In this work, we introduce a variant form of uniform convexity in partially ordered Banach spaces. This uniform convexity property is more adequate than norm uniform convexity when studying the fixed point problem for monotone nonexpansive mappings.
| Original language | English |
|---|---|
| Pages (from-to) | 1621-1630 |
| Number of pages | 10 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 149 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2021 |
Bibliographical note
Publisher Copyright:© 2021 American Mathematical Society. All rights reserved.
Keywords
- Fixed point
- Mann iteration
- Monotone nonexpansive mappings
- Partial order
- Uniform convexity
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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