Certificate problem in Safari (iOS)

Well, you have two problems, and they are both require server-side, not client-side configuration changes.

First, you are being prompted to select a certificate because the server is not sending a trusted certificate authority list to the client during TLS negotiation. Typically this is accomplished by defining a Certificate Trust List and assigning it to the listener serving the website application. The details for doing are implementation-specific and depends the software (Apache, IIS, etc) used on the server and sometimes the version. When the server sends a CA list, the client knows which authority the server wants presented for authentication and can automatically select a client certificate signed by that authority from the keystore.

Second, if you are being re-prompted to select a certificate on every navigation action it probably means that HTTP Keep-alive is not properly configured on the server side. Certificate authentication is processed during TLS negotiation, which happens after the TCP connection is established but before the first HTTP request envelope is passed. If HTTP Keep-alive isn't configured, the server will close the TCP connection immediately after sending the HTTP response. The client then must re-establish the TCP connection, and re-negotiate TLS, forcing re-authentication, which triggers the behavior above.

Yes i was facing the same certificate problem in the safari. I tried very hard to solve the problem but i was even not getting the actual problem. My friend helped to configure it again.