Update cart summary in ajax response has been solved, we need to call getTotalsAction() javascript function as i mentioned below code :
demo.js
define([
'jquery',
'Magento_Checkout/js/action/get-totals'
], function ($, getTotalsAction) {
"use strict";
$.ajax({
method: "post",
url: demoUrl, //your ajax Url
data: {/*here post data*/},
dataType: "html",
success: function (resp) {
//below two lines refershing cart summary
var deferred = $.Deferred();
getTotalsAction([], deferred); //this function already created in Magento_Checkout/js/action/get-totals.js file
}
});
});