I have created a vf page for Communities that allows a user to view their contact & account details and update them as needed. However, the command save button doesn't seem to work and the updates are not changes.

Anyone have any idea why? The community user has edit/read/write permissions on Accounts & Contacts. 

Below is the VF Code -

<apex:page Controller="MyContactController">
    <apex:form >
        <apex:pageBlock title="Update Company Details for {!$User.CommunityNickname}">
            <apex:pageMessages />
            <apex:pageBlockSection >
                <apex:inputField id="title" value="{!contact.title}" />
                <apex:inputField id="firstname" value="{!contact.firstname}" />
                <apex:inputField id="lastname" value="{!contact.lastname}" />
                <apex:inputField id="email" value="{!contact.email}" />             
                <apex:inputField id="mobilephone" value="{!contact.mobilephone}" />
                <apex:inputField id="Publish_Mobile_No_on_Website__c" value="{!contact.Publish_Mobile_No_on_Website__c}" />
                <apex:inputField id="Website_Bio__c" value="{!contact.Website_Bio__c}" />
                <apex:inputField id="Specialty__c" value="{!contact.Specialty__c}" />
                <apex:inputField id="Qualifications__c" value="{!contact.Qualifications__c}" />
                <apex:inputField id="photo__c" value="{!contact.Photo__c}" />
                <apex:inputField value="{!contact.account.phone}"/>
                <apex:inputField value="{!contact.account.fax}"/>
                <apex:inputField value="{!contact.account.Website_Info__c}"/>
                <apex:inputField value="{!contact.account.Nominated_Email_Contact_Website__c}"/>
                <apex:inputField value="{!contact.account.Company_Logo__c}"/>
                 <br><br></br></br>
                 <apex:commandButton action="{!save}" value="Save" id="theButton" immediate="true"/>
            </apex:pageBlockSection>
            <apex:pageBlockSection >
            <em>
            </em>
            </apex:pageBlockSection>
        </apex:pageBlock>
    </apex:form>