A Generalization of Suzuki's Lemma
Let {zn}, {wn}, and {vn} be bounded sequences in a metric space of hyperbolic type (X,d), and let {αn} be a sequence in [0,1] with 0<liminfnαn≤limsupnαn<1. If zn+1=αnwn⊕(1−αn)vn for all n∈ℕ, limnd(zn,vn)=0, and limsupn(d(wn+1,wn)-d(zn+1,zn))≤0, then limnd(wn,zn)=0. This is a ge...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/824718 |