"President" Abbas assumed office exactly 10 years ago today, on May 8 2005.
He had been elected to serve a 4-year term.
But the West continues to consider Mahmoud Abbas to be the Palestinian President.
Wikipedia ( which identifies Abbas as "the President of the State of Palestine" ) explains:
Mahmoud Abbas was elected to serve until 9 January 2009, but due to Palestinian internal conflict he unilaterally extended his term for another year and continues in office even half a decade after that second deadline expired. -More