Sister 'being held'published at 16:41 British Summer Time 26 June 2015
France Info radio says that Yassin Salih's sister is also now in custody.
One man has been killed and two others injured in a suspected Islamist attack near the city of Lyon
Officials say one man has been arrested
French President Francois Hollande says it was a "terrorist attack"
The attack began with several explosions at a factory
Security level raised in region
James Reevell, Bernadette McCague, Ayeshea Perera, Penny Spiller, Alex Kleiderman and Roland Hughes
France Info radio says that Yassin Salih's sister is also now in custody.
Le Dauphine Libere has more detail on the suspect, in French.
One neighbour in the Lyon suburb of Saint-Priest says they were "a very quiet family" with three children aged between six and nine years old.
The suspect was never seen at the mosque in Saint-Priest, another neighbour says.
France's prime minister Manuel Valls tweets: "The blind horror and threat of terrorists spares no country. My thoughts are with the victim in Isere and the victims in Tunisia."
French politicians react
Jean-Jack Queyranne, President of the Rhône -Alpes Region: "The savagery struck again in Isère. We must unite our ranks to face with firmness and vigilance to fight terror."
Christophe Boudot, Lyon councillor: "They want to create a climate of psychosis, we must respond with great firmness."
Laurent Wauquiez, former French Secretary of State for European Affairs: "The State must protect the citizens against the terrorist threat that hit. The horror must not give in to fear."
Spanish Prime Minister Mariano Rajoy tweets: "I firmly condemn the attack carried out in Lyon. Barbarism will always be confronted by unity among democrats. Spain with France."
Donald Tusk, the European Council President, tweets:
Email: haveyoursay@bbc.co.uk
GV, London:
It is a very sad and damaged society we are living in nowadays, this guy was saving lives and no actual BBC report coverage has been presented. However, BBC are showing breaking News today about a French person being decapitated! It's not right and I think this is what is fuelling rascial tension.. Both acts were wrong but only one was shown on 'breaking news' and it's still going on...