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Author(s): P.V. Koparde, B.B. Waghmode

Email(s): Email ID Not Available

Address: Department of Mathematics, Shivaji University, Kolhapur-416004

Published In:   Volume - 6,      Issue - 1,     Year - 1993

DOI: Not Available

ABSTRACT:
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.


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