Article in HTML

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


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.



J. Ravishaokar University. Vol.6, No. 8 (Science) 1993 PP. 53-56.

Study of commuting mappings in Hilbert space

P.V. Koparde and B.B. Waghmode

Department of Mathematics, Shivaji University, Kolhapur-416004

MS: Received: 22.6.90, Accepted: 11.10.93.

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

Key words:  Fixed point, Commuting mappings, Recursive iteration.

NOTE: Full version of this manuscript is available in PDF.

 

 



Related Images:

Recomonded Articles:

Author(s): Manihar Singh; A.K. Chatterjee

DOI:         Access: Open Access Read More

Author(s): Hemant Kumar Nashine

DOI:         Access: Open Access Read More

Author(s): G.S. Saluja; B.K. Sharma

DOI:         Access: Open Access Read More

Author(s): M.R. Yadav; B.K. Sharma; B.S. Thakur

DOI:         Access: Open Access Read More

Author(s): T.D. Narang

DOI:         Access: Open Access Read More

Author(s): Sharda Charan Gupta; Maohu Shrivastav

DOI:         Access: Open Access Read More

Author(s): Gupteshwar Gupta; Madhu Shrivastva; Amitabh Banerjee

DOI:         Access: Open Access Read More

Author(s): Hemant Kumar Mahine; C.L. Dewangan

DOI:         Access: Open Access Read More

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

DOI:         Access: Open Access Read More

Author(s): B.K. Sharma; B.S. Thakur

DOI:         Access: Open Access Read More

Author(s): M. Ranjit Singh

DOI:         Access: Open Access Read More

Author(s): B.K. Shama; Gupteshwar Gupta; V.B.Dhagat

DOI:         Access: Open Access Read More