Safari wont open

Is this issue also appearing on new user account:

Isolating an issue by using another user account - Apple Support

Mac OS X: How to troubleshoot a software issue - Apple Support

Is this issue also appearing in safe mode: OS X: What is Safe Boot, Safe Mode? - Apple Support

If new user and safe mode works ok, then you have something on your own account that is not compatible with Safari:

Unsupported third-party add-ons may cause Safari to unexpectedly quit or have performance issues - Apple Support

Remove unwanted adware that displays pop-up ads and graphics on your Mac - Apple Support

How are you connecting to this website?

Run EtreCheck: https://discussions.apple.com/docs/DOC-6173

Look for "Genieo" under “Launch Agents”.

If you find “Genieo” installed, remove it

1. Safari > Preferences > Extensions

Turn those off and relaunch Safari again.

Turn those on one by one and test.

2. Use free AdwareMedic by clicking “Download ” from here

http://www.adwaremedic.com/index.php

Install , open, and run it by clicking “Scan for Adware” button to remove adware.

Once done, quit AdwareMedic by clicking AdwareMedic in the menu bar and selecting

“Quit AdwareMedic”.

or

Remove the adware manually by following the “HowTo” from Apple.

“Remove Genieo, also known as InstallMac”

http://support.apple.com/en-us/HT203987

Glad that i could help but it would be great for other users if you will post in here what exactly caused the problem with Safari and what did you do to resolve it.