( CNN ) -- Kenyan officials sent mediators into Somalia Sunday after captors took a kidnapped French woman there , a Kenyan government official said . `` We have sent mediators to find out what are their requests or what are their issues , '' Kenyan Tourism Minister Najib Balala told CNN . Meanwhile , he said Kenyan security officials were planning their next move and weighing whether to enter Somalia and attack . `` We have realized it is an aggression of foreign people and we can not tolerate it as a government . We believe that if we go into Somalia and also attack on them , I think it will teach them a lesson , '' Balala said . A sea battle failed to rescue the French woman , who was seized in Kenya early Saturday , Balala said . But the clashes left two of her captors injured , he said . Gunmen snatched the woman early Saturday from her holiday home in Manda Island , close to where a Briton was abducted and her husband killed last month . They were `` 10 heavily armed Somali bandits suspected to be al-Shabaab operatives '' from Ras Kamboni , across the border in Somalia , Kenyan security minister George Saitoti said in a statement . Security forces pursued the men as they raced in a high-speed boat toward the border , but despite the Kenya navy injuring several abductors in a shoot-out , they managed to reach Ras Kamboni , according to Saitoti . `` In the meantime , every effort is being made to rescue the victim , '' he said . French authorities are not releasing the woman 's name , said Eric Bosc , a spokesman for the French Foreign Affairs Ministry . She is in her 60s and lives in Kenya about six months a year , and French authorities are doing everything they can to free her , the spokesman said . However , Balala identified her as Marie Dedieu , 75 . Kenyan officials and an acquaintance said the woman uses a wheelchair and is not in good health . It is the second kidnapping near the popular tourist town of Lamu in a month . Gunmen fatally shot a British man and kidnapped his wife , Judith Tebbutt , from a safari lodge near the town last month . David Tebbutt was killed in the attack when he resisted , according to Kenyan police . The U.K. Foreign and Commonwealth Office issued revised travel advice to its citizens traveling near the Somali border . `` We advise against all but essential travel to coastal areas within 150 km of the Somali border , following two attacks by armed gangs in small boats against beach resorts in the Lamu area on 11 September and 1 October 2011 , '' the statement said . Its previous advice cautioned against travel within 60 kilometers ( 37 miles ) of the border . Security analysts have said Judith Tebbutt is being held by pirates in a remote corner of Somalia . British government officials have asked journalists not to reveal her exact location to avoid abduction attempts from rival gangs . The French embassy in Nairobi urged `` extreme caution '' for people visiting Lamu and the surrounding area . Balala said Sunday that Dedieu 's kidnapping was an `` isolated incident '' and stressed that the nation 's beaches were safe . `` We are doing everything possible to rescue these two visitors of ours , '' he said . `` We value them dearly . '' Manda Island is made up of luxury homes and some small hotels . It is directly across a narrow channel from Shella Beach , one of the most popular -- and long considered safest -- tourist spots in Kenya , on Lamu Island . The channel runs straight from the open ocean . It is off-season in the area , an is frequented by Europeans and other expatriates living in Kenya . Hadija Ernst , a resident of the area and editor of the local magazine Chonju , said the abductions have put local residents and tourists on edge . `` The people are actually leaving , the tourists that are here are leaving because of the reports that we 're getting , '' she said . Ernst , who knows the kidnapped woman , said she is a `` kind and gentle person . '' `` She 's very interested in Swahili culture , the culture of the island here , '' she said . Security in the area should have been improved following the first kidnapping , Ernst said . She has not seen any signs of increased security in the area and worries that the tourist economy in the area will suffer . `` So we are all very concerned and we want to see the government take this matter very seriously , '' she said . Saitoti called the abduction a serious violation of Kenya 's territorial integrity . CNN 's Zain Verjee and David McKenzie contributed to this report .
NEW : Tourism minister : Kenyan forces discuss whether to attack captors inside Somalia . Somalia : Kenyan mediators visit Somalia to find out kidnappers ' requests . The kidnapped woman is ` ` a kind and gentle person , '' an official says . She was kidnapped by Somali bandits , Kenya 's security minister says .