要在Android应用程序中停止屏幕录制，首先需要获取屏幕录制的权限。以下是一种在Android应用程序中停止屏幕录制的解决方法，包含了相应的代码示例：

1. 在AndroidManifest.xml文件中添加以下权限：

2. 在Activity中定义以下变量：

private static final int REQUEST_CODE_SCREEN_CAPTURE = 1;
private MediaProjectionManager mMediaProjectionManager;
private MediaProjection mMediaProjection;
private VirtualDisplay mVirtualDisplay;
private MediaRecorder mMediaRecorder;
private String mScreenRecordFilePath;

3. 在Activity的onCreate方法中初始化MediaProjectionManager：

@Override
protected void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.activity_main);

    mMediaProjectionManager = (MediaProjectionManager) getSystemService(Context.MEDIA_PROJECTION_SERVICE);
}

4. 启动屏幕录制：

private void startScreenRecording() {
    Intent screenCaptureIntent = mMediaProjectionManager.createScreenCaptureIntent();
    startActivityForResult(screenCaptureIntent, REQUEST_CODE_SCREEN_CAPTURE);
}

5. 处理屏幕录制的结果：

@Override
protected void onActivityResult(int requestCode, int resultCode, Intent data) {
    super.onActivityResult(requestCode, resultCode, data);

    if (requestCode == REQUEST_CODE_SCREEN_CAPTURE && resultCode == RESULT_OK) {
        mMediaProjection = mMediaProjectionManager.getMediaProjection(resultCode, data);
        mMediaRecorder = new MediaRecorder();

        // 设置MediaRecorder的参数
        // ...

        try {
            mVirtualDisplay = mMediaProjection.createVirtualDisplay("ScreenCapture",
                    screenWidth, screenHeight, screenDensity, DisplayManager.VIRTUAL_DISPLAY_FLAG_AUTO_MIRROR,
                    mMediaRecorder.getSurface(), null, null);
            mMediaRecorder.start();
        } catch (Exception e) {
            e.printStackTrace();
        }
    }
}

6. 停止屏幕录制：

private void stopScreenRecording() {
    if (mMediaRecorder != null) {
        try {
            mMediaRecorder.stop();
            mMediaRecorder.reset();
            mMediaRecorder.release();
        } catch (Exception e) {
            e.printStackTrace();
        }
        mMediaRecorder = null;
    }

    if (mVirtualDisplay != null) {
        mVirtualDisplay.release();
        mVirtualDisplay = null;
    }

    if (mMediaProjection != null) {
        mMediaProjection.stop();
        mMediaProjection = null;
    }
}

请注意，这只是一个简单的示例，您可能需要根据您的具体需求进行适当的修改和调整。