NEW : San Diego mayor says he 'll fight allegations , ' n't resign . City - spokeswoman says Bob Graham is unfit ` ` to hold any public office '' Jackson said her decision to resign was clinched after Filner 's deputy chief of staff resigned in June . Congresswoman says it 's time for Filner to step down . City attorney says Filner will pay for his own lawyer .
NEW : San Diego mayor says he 'll fight allegations , ' n't resign . City - spokeswoman says Bob Graham is unfit ` ` to hold any public office '' Congresswoman says it 's time for Filner to step down . City attorney says Filner will pay for his own lawyer .