The electronic configuration for O is given as:
O2+ will form by removal of 1 electron from O2.The electron will be removed from 2px or 2py orbital.
Bond order in O2 + = 10-5/2= 2.5
Bond order in O2 - = 10-7/2 = 1.5
Bond order in O22- = 10-8/2 = 1
So Order of bond order in all four species will be in order : O22-< O2- <O2 < O2+
Maximum the bond order, maximum will be stability.
So the stability order of given species will be O2+ > O2 > O2 - >O22-