Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces

被引:5
|
作者
Abbas, Mujahid [1 ]
Anjum, Rizwan [2 ]
Ismail, Nimra [3 ]
机构
[1] Govt Coll Univ, Dept Math, Lahore, Pakistan
[2] Riphah Int Univ, Riphah Inst Comp & Appl Sci, Dept Math, Lahore, Pakistan
[3] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
关键词
Fixed point; Enriched nonexpansive; CAT(0) space; B Karsnoselskij iteration; CONVERGENCE THEOREMS;
D O I
10.1007/s12215-022-00806-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a new iteration process involving enriched asymptotically nonexpansive mapping is defined in the setting of CAT(0) spaces. Strong and Delta convergence results via the newly defined iteration process are obtained. The rate of convergence of the new iteration process with Karsnoselskij iteration is compared with the help of a numerical experiment.
引用
收藏
页码:2409 / 2427
页数:19
相关论文
共 50 条
  • [1] Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces
    Mujahid Abbas
    Rizwan Anjum
    Nimra Ismail
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2409 - 2427
  • [2] ON APPROXIMATION OF FIXED POINTS OF MEAN NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
    Abkar, Ali
    Rastgoo, Mojtaba
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (03): : 481 - 496
  • [3] FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES
    Abbas, Mujahid
    Thakur, Balwant Singh
    Thakur, Dipti
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (01): : 107 - 121
  • [4] Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces
    Fukhar-ud-din, Hafiz
    Khan, Abdul Rahim
    Hussain, Nawab
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 771 - 779
  • [5] Approximation of fixed points for enriched nonexpansive mappings in Banach spaces
    Ullah, Kifayat
    Ahmad, Junaid
    Khan, Muhammad Ijaz Ullah
    Arshad, Muhammad
    FILOMAT, 2024, 38 (12) : 4315 - 4323
  • [6] Iterative approximation of common fixed points of two nonself asymptotically nonexpansive mappings in CAT(0) spaces with numerical examples
    Kratuloek, Kanokwan
    Kumam, Poom
    Amnuaykarn, Kittisak
    Nantadilok, Jamnian
    Salisu, Sani
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (12) : 13521 - 13539
  • [7] Approximation of fixed points of asymptotically nonexpansive mappings in certain Banach spaces
    Osilike, MO
    Igbokwe, DI
    FIXED POINT THEORY AND APPLICATIONS, VOL 2, 2001, : 27 - 42
  • [8] Approximating Common Fixed Points for Four Asymptotically Quasi-nonexpansive Mappings in CAT(0) Spaces
    Saluja, G. S.
    MATEMATIKA, 2014, 30 (02) : 169 - 183
  • [9] Approximation of Common Fixed Points of Suzuki-Square-α-Nonexpansive Mappings in CAT(0) Spaces
    Bantaojai, Thanatporn
    Suanoom, Cholatis
    Chanmanee, Chatsuda
    THAI JOURNAL OF MATHEMATICS, 2022, : 113 - 123
  • [10] Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
    W Laowang
    B Panyanak
    Fixed Point Theory and Applications, 2010