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

  • Thounthong, Phatiphat; 
  • Pakkaranang, Nuttapol; 
  • Cho, Yeol Je; 
  • Kumam, Wiyada; 
  • Kumam, Poom
Citations

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8
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SCOPUS

8

초록

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.

키워드

CAT(0) spaces; proximal point algorithm; iterative method; nonexapnsive mappings; convex minimization problem; ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; DELTA-CONVERGENCE THEOREMS; FIXED-POINTS
제목
The numerical reckoning of modified proximal point methods for minimization problems in non-positive curvature metric spaces
저자
Thounthong, Phatiphat; Pakkaranang, Nuttapol; Cho, Yeol Je; Kumam, Wiyada; Kumam, Poom
DOI
10.1080/00207160.2018.1551527
발행일
2020-02
유형
Article
저널명
International Journal of Computer Mathematics
권
97
호
1-2
페이지
245 ~ 262