Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces
We define a mean nonexpansive mapping T on X in the sense that Tx-Ty≤ax-y+bx-Ty, a,b≥0,a+b≤1. It is proved that mean nonexpansive mapping has approximate fixed-point sequence, and, under some suitable conditions, we get some existence and uniqueness theorems of fixed point.
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| Main Author: | Zhanfei Zuo |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/746291 |
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