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The numerical reckoning of modified proximal point methods for minimization problems in non-positive curvature metric spaces.

Authors :
Thounthong, Phatiphat
Pakkaranang, Nuttapol
Cho, Yeol Je
Kumam, Wiyada
Kumam, Poom
Source :
International Journal of Computer Mathematics. Jan-Feb2020, Vol. 97 Issue 1/2, p245-262. 18p.
Publication Year :
2020

Abstract

In this paper, we introduce a new modified proximal point algorithm for nonexpansive mappings in non-positive curvature metric spaces and also we prove the sequence generated by the proposed algorithms converges to a common solution between minimization problem and fixed point problem. Moreover, we give some numerical examples to illustrate our main results, that is, our algorithm is more efficient than the algorithm of Cholamjiak et al. and others. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207160
Volume :
97
Issue :
1/2
Database :
Academic Search Index
Journal :
International Journal of Computer Mathematics
Publication Type :
Academic Journal
Accession number :
141083249
Full Text :
https://doi.org/10.1080/00207160.2018.1551527