TY - JOUR
T1 - Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces
AU - Fukhar-Ud-Din, Hafiz
AU - Khan, Safeer H
PY - 2021/9/1
Y1 - 2021/9/1
N2 - In this paper, we obtain strong convergence results for asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces. We present our results in hyperbolic spaces. This class of spaces contains both linear and nonlinear spaces like CAT(0) spaces, -trees, Banach spaces and Hilbert spaces. Thus our results are not only novel but also much more general.
AB - In this paper, we obtain strong convergence results for asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces. We present our results in hyperbolic spaces. This class of spaces contains both linear and nonlinear spaces like CAT(0) spaces, -trees, Banach spaces and Hilbert spaces. Thus our results are not only novel but also much more general.
KW - asymptotically demicontractive mapping
KW - asymptotically hemicontractive mapping
KW - convergence
KW - fixed point
KW - Hyperbolic space
KW - iterative sequence
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U2 - 10.1142/S1793557121501540
DO - 10.1142/S1793557121501540
M3 - Article
SN - 1793-5571
VL - 14
JO - Asian-European Journal of Mathematics
JF - Asian-European Journal of Mathematics
IS - 9
M1 - 2150154
ER -