In it the group demanded the release of its members it says are being held in Nigeria and Cameroon in exchange for seven French nationals kidnapped in Cameroon last month.
Some 6, 000 French citizens live in Cameroon, part of which was once a French colony.
The French foreign ministry has denied reports that a French family, kidnapped in Cameroon this week, have been freed.
France's defense minister said Wednesday that there was no proven link between the French operation in Mali and the Cameroon kidnapping.
France's government warned French citizens to avoid travel in northern Cameroon after the kidnapping and urged anyone currently there to leave immediately.
"There is a great danger of terrorism in a big part of west Africa, including as far as Cameroon, " said Hollande, calling on French nationals to exercise caution in West Africa.
The family - a couple, their children aged five, eight, 10 and 12, and an uncle - were snatched on Tuesday in northern Cameroon by six gunmen on three motorbikes, the French news agency AFP reports.
The father works for the French company GDF Suez and is based in Yaounde, the capital in southern Cameroon.
The French gas group GDF Suez identified the captives as an employee working in the Cameroon capital of Yaounde and his family.
The children's father is an employee of the French company GDF Suez and is based in Yaounde, in the south of Cameroon.
Seven French nationals are still being held after they were kidnapped across the border in Cameroon by gunmen believed to be members of Boko Haram.
The new funding will support HIV and AIDS prevention in 14 French-speaking countries in West and Central Africa, namely Benin, Burkina Faso, Cameroon, Central African Republic, Chad, Congo, Democratic Republic of the Congo, Gabon, Guinea, Ivory Coast, Mali, Niger, Senegal, and Togo.
Although Cameroon's security forces have stepped up security in the region, a source told French radio that the government in Yaounde had been given no advance warning of the Nigerian campaign.
BBC: Nigeria army's offensive to continue 'as long as it takes'
The French foreign ministry said on its website citizens were "officially advised not to go to the far north of Cameroon (the shores of Lake Chad in the South Maroua), and the border with Nigeria, until further notice".
Newcastle's returning French winger Hatem Ben Arfa had the best chance of the match but saw his effort saved while Anzhi's Cameroon striker Samuel Eto'o looked dangerous for the home side.
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