Journal article
Ishikawa iterative process for hemicontractive multi-valued non-self mappings in CAT(0) spaces
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Publication Details Author list: Tufa A, Hailu H Publication year: 2019 Volume number: 113 Start page: 157 End page: 169 Number of pages: 13 URL: https://link.springer.com/content/pdf/10.1007%2Fs13398-017-0460-1.pdf Languages: English |
Our purpose in this paper is to construct Ishikawa iterative scheme for multi-valued non-self mappings in CAT(0) spaces. Then we obtain strong convergence of the scheme to a fixed point of multi-valued hemicontractive non-self mapping in a complete CAT(0) space. In addition, we define pseudocontractive mapping in CAT(0) spaces and show that a pseudocontractive mapping T with F(T ) = ∅ and T p = { p}, ∀ p ∈ F(T ) is hemicontractive mapping. Furthermore, we give an example of hemicontractive mapping
which is not pseudocontarctive to show that the converse is not necessarily true. Our theorems improve and unify most of the results in the literature.
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