I would like to go on holidays without my eu family member, i use to travel alone with my residence card from italy but am not sure of this particular permit(article 10)
Without your EU family member, you can normally use that card (in combination with your passport) to go anywhere a Schengen residence permit will take you. That includes the Schengen area and all but two of the non-Schengen EU countries. The two countries that are not included are the UK and Ireland.
However, in a comment you have indicated that you do not reside in Italy. Therefore, the Italian residence card is probably no longer valid, and you should not rely on it for travel to the Schengen area or for any other purpose. Instead, you should apply for a Schengen visa. Because you will be traveling without your family member, you will have to pay the fee and go through the normal application procedure.
(Your UK residence card is probably a "residence card of a family member of a union citizen," in which case you could use it to travel to other EU and countries without a visa as long as you are traveling with or joining your family member there, but that is not the case here.)
No, you must have a visa issued based on your own rights.
In most cases a multiple entry visa is issued once for the lifetime of a passport.
With an Article 10 or 20 Residence Card you can
- travel with or join the EU-Spouse
to the countries in the Schengen Area.
To travel without the EU-Spouse or to be joined later by your EU-Spouse
- you must apply for a Schengen Visa
for visits to other countries in the Schengen Area.