Halpern-type proximal point algorithm in complete CAT(0) metric spaces
und | 21. Sept. 2017
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Online veröffentlicht: 21. Sept. 2017
Seitenbereich: 141 - 159
Eingereicht: 10. Okt. 2015
Akzeptiert: 15. Dez. 2015
DOI: https://doi.org/10.1515/auom-2016-0052
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© 2017
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First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of the operator.