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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
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8초록
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
- 발행일
- 2020-02
- 유형
- Article
- 권
- 97
- 호
- 1-2
- 페이지
- 245 ~ 262
- 언어
- ENG
- 출판사
- Taylor & Francis
- 발행국가
- 영국
- 분량
- 18 페이지
- ISSN
- E 1029-0265
P 0020-7160