Fixed‐Point Theorems for Mean Nonexpansive Mappings in Banach Spaces

Zhanfei Zuo

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We define a mean nonexpansive mapping T on X in the sense that ∥Tx − Ty∥ ≤ a∥x − y∥ + b∥x − 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.

Date: 2014
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https://doi.org/10.1155/2014/746291

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:746291

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