确保在使用AsyncStorage时使用异步函数，并使用回调确保每次递增操作都完成。以下是一个示例：

import React, { Component } from 'react';
import { View, Text, AsyncStorage } from 'react-native';

export default class Example extends Component {
  state = {
    count: 0
  }

  componentDidMount() {
    this.incrementCount();
  }

  incrementCount = async () => {
    try {
      const value = await AsyncStorage.getItem('count');
      if (value !== null) {
        const count = parseInt(value) + 1;
        this.setState({ count });
        await AsyncStorage.setItem('count', count.toString());
      } else {
        await AsyncStorage.setItem('count', '1');
        this.setState({ count: 1 });
      }
    } catch (error) {
      console.log(error);
    }
  }

  render() {
    return (
      
        Count: {this.state.count}
      
    );
  }
}