The answer to the question: What is the full name of that which Nansen wrote they had almost given up their belief in it? is inside the article: The latitude calculated on 9 May, 84°3′N, was disappointing—Nansen had hoped they were farther south.  However, as May progressed they began to see bear tracks, and by the end of the month seals, gulls and whales were plentiful. By Nansen's calculations, they had reached 82°21′N on 31 May, placing them only 50 nautical miles (93 km; 58 mi) from Cape Fligely at the northern extremity of Franz Josef Land, if his longitude estimate was accurate. In the warmer weather the ice began to break up, making travel more difficult. Since 24 April dogs had been killed at regular intervals to feed the others, and by the beginning of June only seven of the original 28 remained.  On 21 June the pair jettisoned all surplus equipment and supplies, planning to travel light and live off the now plentiful supplies of seal and birds. After a day's travel in this manner they decided to rest on a floe, waterproof the kayaks and build up their own strength for the next stage of their journey. They remained camped on the floe for a whole month.On 23 July, the day after leaving the camp, Nansen had the first indisputable glimpse of land. He wrote: "At last the marvel has come to pass—land, land, and after we had almost given up our belief in it!" In the succeeding days the pair struggled towards this land, which seemingly grew no nearer, although by the end of July they could hear the distant sound of breaking surf. On 4 August they survived a polar bear attack; two days later they reached the edge of the ice, and only water lay between them and the land. On 6 August they shot the last two Samoyed dogs, converted the kayaks into a catamaran by lashing sledges and skis across them, and raised a sail.Nansen called this first land "Hvidtenland" ("White Island"). After making camp on an ice foot they ascended a slope and looked about them. It was apparent that they were in an archipelago, but what they could see bore no relation to their incomplete map of Franz Josef Land. They could only continue south in the hopes of finding a..., can you guess it ?
The answer to this question is:
Franz Josef Land