Solution 1:

Use the below code in your rounded_edittext.xml

<?xml version="1.0" encoding="utf-8"?>
<shape xmlns:android="http://schemas.android.com/apk/res/android" >

    <solid android:color="#FFFFFF" />

    <stroke
        android:width="1dp"
        android:color="#2f6699" />
    <corners 
        android:radius="10dp"            
        />

</shape>

This should work

Solution 2:

enter image description here

For EditText in image above, You have to create two xml files in res-->drawable folder. First will be "bg_edittext_focused.xml" paste the lines of code in it

<?xml version="1.0" encoding="utf-8"?>
    <shape xmlns:android="http://schemas.android.com/apk/res/android" >
        <solid android:color="#FFFFFF" />
        <stroke
            android:width="2dip"
            android:color="#F6F6F6" />
        <corners android:radius="2dip" />
        <padding
            android:bottom="7dip"
            android:left="7dip"
            android:right="7dip"
            android:top="7dip" />
    </shape>

Second file will be "bg_edittext_normal.xml" paste the lines of code in it

<?xml version="1.0" encoding="utf-8"?>
    <shape xmlns:android="http://schemas.android.com/apk/res/android" >
        <solid android:color="#F6F6F6" />
        <stroke
            android:width="2dip"
            android:color="#F6F6F6" />
        <corners android:radius="2dip" />
        <padding
            android:bottom="7dip"
            android:left="7dip"
            android:right="7dip"
            android:top="7dip" />
    </shape>

In res-->drawable folder create another xml file with name "bg_edittext.xml" that will call above mentioned code. paste the following lines of code below in bg_edittext.xml

<?xml version="1.0" encoding="utf-8"?>
<selector xmlns:android="http://schemas.android.com/apk/res/android">
    <item android:drawable="@drawable/bg_edittext_focused" android:state_focused="true"/>
    <item android:drawable="@drawable/bg_edittext_normal"/>
</selector>

Finally in res-->layout-->example.xml file in your case wherever you created your editText you'll call bg_edittext.xml as background

   <EditText
    :::::
    :::::  
    android:background="@drawable/bg_edittext"
    :::::
    :::::
    />

Solution 3:

Use the below code in your rounded_edittext.xml :

<?xml version="1.0" encoding="utf-8" ?>
<shape xmlns:android="http://schemas.android.com/apk/res/android"
       android:thickness="0dp"
       android:shape="rectangle">

    <stroke android:width="2dp"
            android:color="#2F6699"/>

    <corners android:radius="3dp" />

    <gradient   android:startColor="#C8C8C8"
                android:endColor="#FFFFFF"
                android:type="linear"
                android:angle="270"/>
</shape>

Result