The method of cyclic resolvents for quasi-convex functions and quasi-nonexpansive mappings

被引：0
作者：
Khatibzadeh, Hadi [1 ]
Moosavi, Maryam [1 ]
机构：
[1] Univ Zanjan, Dept Math, Zanjan 45195313, Iran
来源：
ADVANCES IN OPERATOR THEORY | 2024年 / 9卷 / 04期
关键词：
Proximal point algorithm; Resolvent; Pseudo-convex function; Pseudo-nonexpansive mapping; Strongly quasi-nonexpansive sequence; Minimization; Fixed point; Convergence; Hadamard space; PROXIMAL POINT ALGORITHM; INFINITE PRODUCTS; ASYMPTOTIC-BEHAVIOR; MONOTONE-OPERATORS; CONVERGENCE; SPACES;
D O I：
10.1007/s43036-024-00390-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The method of cyclic resolvents has been extended for a finite family of quasi-convex functions and quasi-nonexpansive mappings in Hadamard spaces. The essential tool for proving the main results is the use of the recent article by the first author and Mohebbi on the behavior of an iteration of a strongly quasi-nonexpansive sequence. The results are new even in Hilbert spaces.
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页数：16
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