Consider is a synonym of Deal. Deal is related to Negotiate. 
Invite is a synonym of Encourage. Encourage is the opposite of Discourage. Discourage is the opposite of Recommend. Recommend is a synonym of Suggest. 
Consider <--Synonym--> Deal <--RelatedTo--> Negotiate 
Invite <--Synonym--> Encourage <--Antonym--> Discourage <--Antonym--> Recommend <--Synonym--> Suggest 