The numerical reckoning of modified proximal point methods for minimization problems in non-positive curvature metric spaces. Issue 1 (1st February 2020)

• Record Type: Journal Article
• Authors: Thounthong, Phatiphat; Pakkaranang, Nuttapol; Cho, Yeol Je; Kumam, Wiyada; Kumam, Poom
• Is Part Of: International journal of computer mathematics. Volume 97:Issue 1/2(2020)
• Page Start: 245
• Page End: 262
• Publication Date: 2020-02-01
• Subjects: CAT(0) spaces -- proximal point algorithm -- iterative method -- nonexapnsive mappings -- convex minimization problem; 47H09 -- 47H10 -- 65K10 -- 65K15; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2018.1551527
• Languages: English
• ISSNs: 0020-7160

Abstract

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.