How can the issue of submitting a PHP file be resolved to open within the index file instead of a new page?

To resolve the issue of submitting a PHP file opening in a new page instead of within the index file, you can use AJAX to submit the form data without refreshing the page. This way, the PHP file will be processed in the background and the result can be displayed within the index file without navigating to a new page.

```php
// index.php

<!DOCTYPE html>
<html>
<head>
    <title>Submit Form Without Refreshing</title>
    <script src="https://ajax.googleapis.com/ajax/libs/jquery/3.5.1/jquery.min.js"></script>
</head>
<body>

<form id="myForm">
    <input type="text" name="data">
    <button type="submit">Submit</button>
</form>

<div id="result"></div>

<script>
    $(document).ready(function(){
        $('#myForm').submit(function(e){
            e.preventDefault();
            $.ajax({
                type: 'POST',
                url: 'process.php',
                data: $(this).serialize(),
                success: function(response){
                    $('#result').html(response);
                }
            });
        });
    });
</script>

</body>
</html>
```

In this code snippet, the form submission is handled using jQuery's AJAX function, which sends the form data to a PHP file called 'process.php'. The response from 'process.php' is then displayed within a div element with the id 'result' on the index.php page. This allows the PHP file to be processed without navigating to a new page.