Open Access
2009 COMMON FIXED POINTS FROM BEST SIMULTANEOUS APPROXIMATIONS
A. R. Khan, F. Akbar
Taiwanese J. Math. 13(5): 1379-1386 (2009). DOI: 10.11650/twjm/1500405546

Abstract

We obtain some results on common fixed points from the set of best simultaneous approximations for a map $T$ which is asymptotically $(f,g)$-nonexpansive where $(T,f)$ and $(T,g)$ are not necessarily commuting pairs. Our results extend and generalize recent results of Chen and Li [1], Jungck and Sessa [8], Sahab et al. [13], Sahney and Singh [14], Singh [15,16] and Vijayaraju [17] and many others.

Citation

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A. R. Khan. F. Akbar. "COMMON FIXED POINTS FROM BEST SIMULTANEOUS APPROXIMATIONS." Taiwanese J. Math. 13 (5) 1379 - 1386, 2009. https://doi.org/10.11650/twjm/1500405546

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1182.41034
MathSciNet: MR2554463
Digital Object Identifier: 10.11650/twjm/1500405546

Subjects:
Primary: 41A65 , 47H10 , 54H25

Keywords: asymptotically $(f,g)$-nonexpansive maps , Banach operator pair , best simultaneous approximation

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 5 • 2009
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