Yes, the authors of the British Object Relations School, including Melanie Klein, Fairbairn, Winnicott, and Michael Balint, did use the term "self" in their theoretical and clinical work, although their understanding and use of the term varied.
Melanie Klein, for example, used the term "ego" rather than "self" in her early work, but later developed the concept of the "core self," which she saw as a deep, unchanging aspect of the personality that could be accessed through the therapeutic process.
Fairbairn, on the other hand, used the term "ego" to refer to a more integrated sense of self, which he saw as emerging from the subject's relationship with an empathic and attuned other.
Winnicott used the terms "true self" and "false self" to describe different aspects of the self that emerge in response to the subject's early experiences with caregivers. He saw the true self as the authentic, spontaneous, and creative aspect of the self, while the false self was a defensive, conformist aspect of the self that developed in response to the subject's need to please others and protect themselves from harm.
Michael Balint also used the term "self" in his work, particularly in relation to the development of the self through the experience of being understood and recognized by others.
Overall, while the authors of the British Object Relations School did not all use the term "self" in the same way, they all recognized the importance of understanding the subject's internal experience and sense of identity in relation to their early experiences with caregivers and other significant others.
