In the Wide Sargasso Sea the narrators both feel alienated wherever they are in two ways: they are unfamiliar with their surroundings and they are disliked by the people around them. Antoinette's alienation comes from her history and her family's history in the area. she feels alienated because her family is ostracized by both the white and black inhabitants of Jamaica, and because she personally is disliked by just about everyone--even her own mother. Rochester experiences something similar in part two, where he feels looked down on by everyone, which is caused by his marriage with Antoinette and the history surrounding her family. He even has similar problems with a parent that doesn't seem to care for him.
They both also experience alienation that comes from being in an unfamiliar place. Rochester spends his entire time in Jamaica disoriented and uncomfortable, unable to deal with the abundance of nature and color surrounding him. He also compares his experience to a dream, but not a good dream--he does not feel at home in any way. Antoinette also has to deal with this kind of unfamiliarity. In part one, she is sent to stay in a convent, and doesn't feel at home at all. Then in part three, she is taken to England and feels even more alienated even having a similar dream-like experience to Rochester's and describing it as 'card-board' (although by this point in the novel she isn't completely stable mentally, she also compares England to a dream in part two while she still is).
The isolation that both characters feel ends up contributing strongly to the unraveling of both characters' minds. Once Rochester's paranoia is vindicated and he realizes that he is being laughed at his situation rapidly declines resulting in his thought process resembling Gollum's more than what we had come to recognize as his own. Similarly, once Antoinette is isolated in England in Rochester's attic, she starts to fall apart and resembles the narrator of the yellow wallpaper quite strongly.