what problems do women face in trying to achieve equal relationship with men in the family?

In what culture? In what era? You need a more specific question to come up with a decent answer.

The first site will give you a large number of sites on US gender discrimination. The rest of the sites look at the problem all over the world.

http://www.google.com/search?hl=en&ie=ISO-8859-1&q=+America%2C+gender+discrimination&btnG=Search

http://www.oecd.org/dataoecd/47/35/1896261.htm
http://www.oxfam.org.uk/what_we_do/issues/gender/index.htm
http://www.unfpa.org/gender/violence.htm
http://www.unfpa.org/gender/empowerment.htm
http://www.eurofound.europa.eu/eiro/2003/12/feature/ee0312102f.html