What is the term that means the use of strategies for solving social conflicts in mutually satisfactory ways?

The term is "Social problem-solving".

Social problem-solving may likewise be called 'problem solving in real life'. It is a fairly scholastic method for depicting the frameworks and procedures that we use to take care of the issues that we experience in our regular daily lives.

The word 'social' does not imply that it just applies to issues that we tackle with other individuals, or, those that we feel are caused by others. The word is basically used to demonstrate the 'real life' nature of the issues, and the way that we approach them.