How do I implement a custom handleChange function on Formik?

In an input element, handleChange function would receive the event object from the onChange event. How do I create a custom handleChange function for non-input fields like the following?

import React from 'react';
import { useFormik } from "formik";

const SomeForm = () =>
{
  const { handleChange, handleSubmit, values } = useFormik({
    initialValues: {
      type: `company`, name: ``,
    },
    onSubmit: values => {
      console.log(JSON.stringify(values, null, 2));
    },
  });

  return (

    <div>

      <form onSubmit={ handleSubmit }>
        <label>Type</label>
        <ul>
          <li className={ values.type === `company` && `active` }
               onClick={() => handleChange(/* some custom handle change */)} >
              Company
          </li>

          <li className={ values.type === `individual` && `active` }
               onClick={() => handleChange(/* some custom handle change */)} >
              Individual
          </li>
        </ul>

        <label>Full Name</label>

        <input type="text"
               name="name" 
               value={ value.name }
               onChange={ handleChange } />
      </form>

    </div>

  )
};

export default SomeForm;

use setField('fieldName',value) method of form object provided in render props pattern of Field component.