问我无法显示我正在从api，TypeError:未定义不是一个函数(近‘.this.state.fantasyName.map .)

EN

   componentDidMount() {
        AsyncStorage.getItem('token').then((value) => this.setState({ token: 
        'Bearer ' + value }));

        const uri = "http://192.168.0.149/xpago- 
        backoffice/api/participant/getparticipant.php"

        const requestInfo = {
            method: 'POST',
            headers: new Headers({
                'Content-type': 'application/json',
                'Authorization': this.state.token
            })
        }

        fetch(uri, requestInfo)
            .then((response) => response.json())
            .then((responseJson) => {

                this.setState({fantasyName: responseJson})

            })
    }

    renderList() {
        const name = this.state.fantasyName.map(nomes => {
            const nf = nomes.PAR_FANTASYNAME;
            return <Text key={nf}>{nf}</Text>
        }) 
        return name;
    }

    render() {
        return (
            <View>
                <LinearGradient colors={['#41295a', '#2f0743']} style={{ 
                  height: 690 }}>
                    <View style={style.fundo}>
                        <StatusBar translucent backgroundColor='transparent' 
                        />
                        <TouchableHighlight onPress={this.voltar}>
                            <Image
                                source={require('../images/voltar.png')}
                                style={style.voltar}
                            />
                        </TouchableHighlight>
                        <Text style={style.tit}>Cadastros</Text>
                    </View>
                    <ScrollView>
                        {this.renderList()}
                    </ScrollView>
                    <TouchableOpacity style={style.add1} onPress= 
                     {this.cadastro}>
                        <View>
                            <Image source={require('../images/add.png')} 
                             style={style.add} />
                        </View>
                    </TouchableOpacity>
                </LinearGradient>
            </View>

        )
    }