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# On Asymptotically Quasi-φ-Nonexpansive Mappings in the Intermediate Sense

@inproceedings{Qin2014OnAQ, title={On Asymptotically Quasi-φ-Nonexpansive Mappings in the Intermediate Sense}, author={Xiaolong Qin and Lin Wang}, year={2014} }

- Published 2014

and Applied Analysis 3 It is easy to see that a quasi-nonexpansive mapping is an asymptotically quasi-nonexpansive mapping with the sequence {1}. T is said to be asymptotically nonexpansive in the intermediate sense if and only if it is continuous, and the following inequality holds: lim sup n→∞ sup x,y∈C (∥ ∥Tx − Tny∥∥ − ∥∥x − y∥∥) ≤ 0. 2.6 T is said to be asymptotically quasi-nonexpansive in the intermediate sense if and only if F T / ∅ and the following inequality holds: lim sup n→∞ sup p∈F… CONTINUE READING