actionbar_layout.xml

<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:layout_width="match_parent"
    android:layout_height="60dp"
    android:weightSum="3"
    android:background="@color/orange_color_1"
    android:orientation="horizontal">
    
    <ImageView
        android:layout_width="0dp"
        android:layout_height="wrap_content"
        android:layout_weight="0.5"
        android:layout_gravity="left|center"
        android:gravity="left"
        android:id="@+id/drawer_imageview"
        android:src="@drawable/ic_hamburger_back_1"/>
    
    <TextView
        android:layout_width="0dp"
        android:layout_height="wrap_content"
        android:layout_weight="2"
        android:maxHeight="50dp"
        android:text="Waeo"
        android:layout_marginLeft="15dp"
        android:layout_gravity="center"
        android:gravity="center"
        android:textColor="#fff"
        android:id="@+id/actionbar_titleview"
        android:textSize="18sp"/>
    
    <ImageView
        android:layout_width="0dp"
        android:layout_height="wrap_content"
        android:layout_weight="0.5"
        android:layout_gravity="center"
        android:id="@+id/drawer_imageview_done"
        android:src="@drawable/icon_check"/>
    
</LinearLayout>

custom_actionbar.java

ActionBar actionBar = getActionBar();
actionBar.setNavigationMode(ActionBar.NAVIGATION_MODE_STANDARD);
actionBar.setDisplayOptions(ActionBar.DISPLAY_SHOW_CUSTOM);

LinearLayout actionBarLayout = (LinearLayout)getLayoutInflater().inflate(R.layout.actionbar_layout, null);
TextView actionBarTitleview = (TextView)actionBarLayout.findViewById(R.id.actionbar_titleview);
actionBarTitleview.setText("My Custom ActionBar Title");
ActionBar.LayoutParams params = new ActionBar.LayoutParams(
                                            ActionBar.LayoutParams.MATCH_PARENT,
                                            ActionBar.LayoutParams.MATCH_PARENT,
                                            Gravity.LEFT);

ImageView drawerImageView = (ImageView)actionBarLayout.findViewById(R.id.drawer_imageview);

drawerImageView.setOnClickListener(new View.OnClickListener() {
    @Override
    public void onClick(View v) { onCancelClicked(v); }
});

ImageView drawerImageViewCheck = (ImageView)actionBarLayout.findViewById(R.id.drawer_imageview_done);

drawerImageViewCheck.setOnClickListener(new View.OnClickListener() {
    @Override
    public void onClick(View v) { onCheckClicked(v); }
});

actionBar.setCustomView(actionBarLayout, params);
actionBar.setDisplayHomeAsUpEnabled(false);