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In this paper, we introduce a new class of uniformly pointwise R-subweakly commuting self-mappings and prove several common fixed point theorems and best approximation results for uniformly pointwise R-subweakly commuting asymptotically I-nonexpansive mappings in normed linear spaces. We also establish some results concerning strong convergence of nearest common fixed points of asymptotically I-non-expansive mappings in reflexive Banach spaces with a uniformly G(특수문자)teaux differentiable norm. Our results unify and generalize various known results given by some authors to a more general class of noncommuting mappings.
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참고문헌 (27)
참고문헌 신청
B. Halpern / 1967 / Fixed points of nonexpanding maps / Bull. Amer. Math. Soc 73 : 957 ~ 961
C. E. Chidume / 2005 / Convergence of paths and approximation of xed points of asymptotically nonexpansive mappings / Proc. Amer. Math. Soc 133 (2) : 473 ~ 480
D. O'Regan / 2007 / Generalized I-contractions and pointwise R-subweakly com- muting maps / Acta Math. Sin. (Engl. Ser.) 23 (8) : 1505 ~ 1508
F. Akbar / 2009 / Common xed point and approximation results for noncom- muting maps on locally convex spaces / Fixed Point Theory Appl 2009 : 14 ~
F. E. Browder / 1967 / Convergence of approximants to xed points of nonexpansive non-linear mappings in Banach spaces / Arch. Rational Mech. Anal 24 : 82 ~ 90
C. E. Chidume / 2005 / Convergence of paths and approximation of xed points of asymptotically nonexpansive mappings / Proc. Amer. Math. Soc 133 (2) : 473 ~ 480
D. O'Regan / 2007 / Generalized I-contractions and pointwise R-subweakly com- muting maps / Acta Math. Sin. (Engl. Ser.) 23 (8) : 1505 ~ 1508
F. Akbar / 2009 / Common xed point and approximation results for noncom- muting maps on locally convex spaces / Fixed Point Theory Appl 2009 : 14 ~
F. E. Browder / 1967 / Convergence of approximants to xed points of nonexpansive non-linear mappings in Banach spaces / Arch. Rational Mech. Anal 24 : 82 ~ 90
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