TY - JOUR
T1 - Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process
AU - Khan, Safeer H
AU - Abbas, Mujahid
AU - Ali, Sartaj
PY - 2014/1/1
Y1 - 2014/1/1
N2 - In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature. © 2014 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.
AB - In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature. © 2014 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg.
KW - common fixed point
KW - condition (I)
KW - Multivalued nonexpansive mapping
KW - weak and strong convergence
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U2 - 10.1007/s10114-014-3590-9
DO - 10.1007/s10114-014-3590-9
M3 - Article
SN - 1439-8516
VL - 30
SP - 1231
EP - 1241
JO - Acta Mathematica Sinica, English Series
JF - Acta Mathematica Sinica, English Series
IS - 7
ER -