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.
引用
收藏
页码：801 / 823
页数：23
相关论文
共 50 条
  • [1] Halpern-type proximal point algorithm in complete CAT(0) metric spaces
    Heydari, Mohammad Taghi
    Ranjbar, Sajad
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (03): : 141 - 159
  • [2] Inexact Halpern-type proximal point algorithm
    O. A. Boikanyo
    G. Moroşanu
    Journal of Global Optimization, 2011, 51 : 11 - 26
  • [3] Inexact Halpern-type proximal point algorithm
    Boikanyo, O. A.
    Morosanu, G.
    JOURNAL OF GLOBAL OPTIMIZATION, 2011, 51 (01) : 11 - 26
  • [4] Quantitative results on a Halpern-type proximal point algorithm
    Leustean, Laurentiu
    Pinto, Pedro
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2021, 79 (01) : 101 - 125
  • [5] Quantitative results on a Halpern-type proximal point algorithm
    Laurenţiu Leuştean
    Pedro Pinto
    Computational Optimization and Applications, 2021, 79 : 101 - 125
  • [6] QUANTITATIVE ANALYSIS OF A HALPERN-TYPE PROXIMAL POINT ALGORITHM FOR ACCRETIVE OPERATORS IN BANACH SPACES
    Kohlenbach, Ulrich
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (09) : 2125 - 2138
  • [7] Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT (0) spaces
    Ranjbar, Sajad
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2017, 25 (03): : 183 - 197
  • [8] The modified proximal point algorithm in CAT(0) spaces
    Cholamjiak, Prasit
    OPTIMIZATION LETTERS, 2015, 9 (07) : 1401 - 1410
  • [9] Strong convergence of a Halpern-type iteration algorithm for fixed point problems in Banach spaces
    Yao, Zhangsong
    Zhu, Li-Jun
    Liou, Yeong-Cheng
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 489 - 495
  • [10] On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space
    Ulrich Kohlenbach
    Optimization Letters, 2022, 16 : 611 - 621
12345