Common fixed points and invariant approximations of pointwise R - subweakly commuting maps on nonconvex sets
نویسندگان
چکیده
In this paper we prove a theorem giving sufficient conditions for the existence of common fixed points of pointwise R-subweakly commuting mappings on nonconvex sets. We apply this theorem to derive some results on the existence of common fixed points from the set of best approximation for this class of maps in the set up of metric spaces. The results proved in the paper generalize and extend some known results of F. Akbar and N. Sultana [Anal. Theory Appl. 24(2008) 40-49], W.G. Dotson [J. London Math. Soc. 4(1972) 408410], N. Hussain [Anal. Theory Appl. 22(2006) 72-80; Demonstratio Math. 39(2006) 389-400], A.R. Khan and A. Latif [Tamkang J. Math. 36(2005) 3338], D. O’Regan and N. Hussain [Acta Math. Sinica 8(2007) 1505-1508], N. Shahzad [Fixed Point Theory Appl. 1(2005) 79-86] and of few others. 2010 Mathematics Subject Classification: 41A50, 47H10, 54H25.
منابع مشابه
Common Fixed Points and Invariant Approximations for Cq-commuting Generalized nonexpansive mappings
Some common fixed point theorems for Cq-commuting generalized nonexpansive mappings have been proved in metric spaces. As applications, invariant approximation results are also obtained. The results proved in the paper extend and generalize several known results including those of M. Abbas and J.K. Kim [Bull. Korean Math. Soc. 44(2007) 537-545], I. Beg, N. Shahzad and M. Iqbal [Approx. Theory A...
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