TY - JOUR
T1 - Common Fixed Points and Invariant Approximations for Cq-commuting Generalized nonexpansive mappings
TT -
JF - IJMSI
JO - IJMSI
VL - 7
IS - 1
UR - http://ijmsi.ir/article-1-285-en.html
Y1 - 2012
SP - 21
EP - 34
KW - Convex metric space
KW - convex set
KW - starshaped set
KW - best approximation
KW - affine mapping
KW - hemicompact mapping
KW - R-subweakly commuting and Cq-commuting mappings.
N2 - 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 Appl. 8(1992) 97-105], W.G. Dotson [J. London Math. Soc. 4(1972) 408-410 Proc. Amer. Math. Soc. 38(1973) 155-156.], M. D. Guay, K. L. Singh and J. H. M. Whitfield [Proc. Conference on nonlinear analysis (Ed. S.P.Singh and J. H. Bury) Marcel Dekker 80(1982) 179-189], L. Habiniak [J. Approx. Theory 56(1989) 241-244], N. Hussain and B.E. Rhoades [Fixed Point Theory Appl. Vol. 2006, Article ID 24543, 1-9], T.D. Narang and S. Chandok [Indian J. Math. 51(2009) 293-303 Ukrainian Math. J. 62 (2010) 1367-1376], N. Shahzad [Fixed point Theory Appl. 1(2005) 79-86] and of Y. Song [Comm. Math. Anal. 2(2007) 17-26].
M3 10.7508/ijmsi.2012.01.003
ER -