HALPERN-TYPE PROXIMAL POINT ALGORITHM IN CAT(0) SPACES

被引：0
作者：
Okeke, Chibueze Christian [1 ]
机构：
[1] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 61卷 / 02期
关键词：
Monotone inclusion problem; fixed point problem; nonexpansive mapping; resolvent operators; CAT(0) spaces; NONEXPANSIVE ITERATIONS; MONOTONE-OPERATORS; STRONG-CONVERGENCE; CONVEX-FUNCTIONS; INCLUSION; MAPPINGS;
D O I：
10.12775/TMNA.2022.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A method which is a combination of the Halpern method and proximal point method (PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly to a point which is a common solution to some monotone inclusion prob-lem and fixed point problem in CAT(0) spaces under some appropriate conditions.
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页码：801 / 823
页数：23
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