OK, so based on the little information you've given us, I tried to make a quick example (no design at all) that you can find here

I'll let you do the styling.

Reading your data from the JSON file : check this

The code is the following :

'use strict';



var React = require('react-native');

var {

  AppRegistry,

  Component,

  StyleSheet,

  Text,

  TextInput,

  ListView,

  View,

} = React;



var adresses = [

  {

    street: 1 Martin Place,

      city: Sydney,

    country: Australia

    },{

    street: 1 Martin Street,

      city: Sydney,

    country: Australia

  }

];



var ds = new ListView.DataSource({rowHasChanged: (r1, r2) => r1 !== r2});



class SampleApp extends Component {

  constructor(props) {

    super(props);



    this.state = {

      searchedAdresses: []

    };

  };



  searchedAdresses = (searchedText) => {

    var searchedAdresses = adresses.filter(function(adress) {

      return adress.street.toLowerCase().indexOf(searchedText.toLowerCase()) > -1;

    });

    this.setState({searchedAdresses: searchedAdresses});

  };



    renderAdress = (adress) => {

    return (

      <View>

        <Text>{adress.street}, {adress.city}, {adress.country}</Text>

      </View>

    );

  };

  render() {

    return (

      <View style={styles.container}>

        <TextInput 

            style={styles.textinput}

            onChangeText={this.searchedAdresses}

            placeholder=Type your adress here />

        <ListView

                    dataSource={ds.cloneWithRows(this.state.searchedAdresses)}

          renderRow={this.renderAdress} />

      </View>

    );

  };

}



var styles = StyleSheet.create({

  container: {

    flex: 1,

    justifyContent: 'center',

    alignItems: 'center',

    backgroundColor: '#FFFFFF',

  },

  textinput: {

    marginTop: 30,

    backgroundColor: '#DDDDDD',

    height: 40,

    width: 200

  }

});



AppRegistry.registerComponent('SampleApp', () => SampleApp);