In this paper we have obtained unique common fixed point for two mappings S and T which are e6ntinuous. Commuting self mappings on a dosed subset X of a Hilbert space H and saatisfy the conditions,
(i) S(X) < T(X)
(ii) || Sx- Sy ||2 < a ||Tx - Sx||2 +b || Ty - Sy ||2 +c || Tx – Ty ||2
For all x, y in X where a,b,c are non-negative real numbers satisfying
(iii) 0 < a + b + c < 1
Cite this article:
Koparde and Waghmode (1993). Study of commuting mappings in Hilbert space. Journal of Ravishankar University (Part-B: Science), 6(1), pp. 53-56.