App.js

import React from 'react';
import {
  createAppContainer,
} from 'react-navigation';
import {
  createStackNavigator,
} from 'react-navigation-stack';

const stack = createStackNavigator(
  { 
    A: ScreenA,
    B: ScreenB,
  },
  {
    /* set global options */
    defaultNavigationOptions: ({ navigation }) => ({
      headerTintColor: '#fff',
      headerBackTitle: null,
    }),
  },
);

const App = createAppContainer(stack);

export default class Whatever extends React.Component {
  render() {
    return (
      <App />
    );
  }
}

ScreenA.js

import React from 'react';
import withCommonProps from './withCommonProps';

class ScreenA extends React.Component {
  constructor(props) {
    super(props);
  }
  
  componentDidMount() {
    const { navigation } = this.props;
    
    navigation.setParams({
      title: 'title of ScreenA',
    });
  }

}

export default withCommonProps(ScreenA);

ScreenB.js

import React from 'react';
import {
  Button,
  Text,
} from 'react-native';

import withCommonProps from './withCommonProps';

class ScreenB extends React.Component {
  constructor(props) {
    super(props);
  }
  
  componentDidMount() {
    const { navigation, navigateTo } = this.props;
    
    navigation.setParams({
      title: 'title of ScreenB',
      headerLeft: () => {
        return (
          <Button
            transparent
            onPress={() => {
              navigateTo('A');
            }}
          >
            <Text style={{ color: '#fff' }}>Back</Text>
          </Button>
        );
      },
    });
  }

}

export default withCommonProps(ScreenB);

withCommonProps.js

import React from 'react';

const withCommonProps = (WrappedComponent) => {
  class HOC extends React.Component {
    static navigationOptions = ({ navigation }) => {
       return {
         title: navigation.getParam('title'),
         headerLeft: navigation.getParam('headerLeft'),
       };
    };
  
    // write some common functions
    // e.g.
    //   navigateTo = (routes) => {
    //     Details are omitted.
    //     see. https://www.its-all-writing.com/entry/2019/10/18/083529
    //   }
  }
  return HOC;
};

export default withCommonProps;