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In this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee \cite{lee} from the closed convex subset of a convex cone metric space to whole space.
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참고문헌 (11)
참고문헌 신청
A. R. Khan / 2010 / Convergence of a general iterative scheme for a fi-nite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications / Co
B. Gunduz / 2016 / A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces / J. Nonlinear Sci. Appl 9 (3) : 1365 ~
B. L. Xu / 2002 / Fixed point iterations for asymptotically nonexpansive map-pings in Banach spaces / J. Math. Anal. Appl 267 (2) : 444 ~ 453
B. S. Lee / 2013 / Approximating common fixed points of two sequences of uniformly quasi-Lipschitzian mappings in convex cone metric spaces / Univ. J. Appl. Math 1 (3) : 166
L. A. Talman / 1977 / Fixed points for condensing multifunctions in metric spaces with convex structure / Kodai Math. Sem. Rep 29 (1-2) : 62 ~ 70
B. Gunduz / 2016 / A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces / J. Nonlinear Sci. Appl 9 (3) : 1365 ~
B. L. Xu / 2002 / Fixed point iterations for asymptotically nonexpansive map-pings in Banach spaces / J. Math. Anal. Appl 267 (2) : 444 ~ 453
B. S. Lee / 2013 / Approximating common fixed points of two sequences of uniformly quasi-Lipschitzian mappings in convex cone metric spaces / Univ. J. Appl. Math 1 (3) : 166
L. A. Talman / 1977 / Fixed points for condensing multifunctions in metric spaces with convex structure / Kodai Math. Sem. Rep 29 (1-2) : 62 ~ 70
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