INVARIANT APPROXIMATION FOR NONCOMMUTING PAIRS OF SELF-MAPPINGS

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

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.

Cuvinte cheie

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