Fairness is subjective. To me it means: everyone is free to do what they like WITHOUT invading anybody elses freedom; if a person performs well, they should be rewarded well; everyone should have the same initial possibilities in life.
The version of capitalism I was talking about is capitalism with a regulated market. Basic needs should be covered (except if you refuse to contributr anything at all). Im pretty happy with the "social market economy" in Germany where I currently live.