Abstract
Convergence theorems are established in a hyperbolic space for the modified Noor iterations with errors of asymptotically nonexpansive mappings. The obtained results extend and improve the several known results in Banach spaces and CAT(0) spaces simultaneously.
Highlights
1 Introduction Nonexpansive mappings are Lipschitzian with Lipschitz constant equal to
The class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [ ] as an important generalization of the class of nonexpansive mappings
Our results extend and improve the corresponding ones proved by Suantai [ ], Xu and Noor [ ] and others in a (UC) Banach space and are valid in CAT( ) spaces, simultaneously
Summary
Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces. Hafiz Fukhar-ud-din[1,2] and Amna Kalsoom2* Dedicated to Professor Wataru Takahashi on his 70th birthday
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