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INVARIANT APPROXIMATION FOR NONCOMMUTING PAIRS OF SELF-MAPPINGS


SUMIT CHANDOK 1 AND T. D. NARANG 2
1. Department of Mathematics, Khalsa College of Engineering & Technology, (Punjab Technical University), Ranjit Avenue, Amritsar 143001, INDIA
chansok.s@gmail.com
2. Department of Mathematics, Guru Nanak Dev University, Amritsar 143005, IN-DIA
tdnarang1948@yahoo.co.in

Issue:

SSRSMI, Number 2, Volume XXIII

Section:

Volume 23, Number 2

Abstract:

The existence of common fixed points of best approximation for noncommuting pairs with different types of nonexpansive mappings have been proved. We also obtain some results on common fixed points from the set of best simultaneous approximation for a map T which is asymptotically (G,S)-nonexpansive where (T,G) and (T,S) are not necessarily commuting pairs. The proved results generalize and extend several known results on the subject.

Keywords:

asymptotically nonexpansive, Banach operator pair, best approximation, convex metric space, star-shaped set.

Code [ID]:

SSRSMI20130223V23S01A0005 [0004052]

Full paper:

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