Suchergebnisse - Halpern-type algorithm

  1. 1

    Convergence of a modified Halpern-type iteration algorithm for quasi- ϕ -nonexpansive mappings von Qin, Xiaolong, Cho, Yeol Je, Kang, Shin Min, Zhou, Haiyun

    ISSN: 0893-9659, 1873-5452
    Veröffentlicht: Kidlington Elsevier Ltd 01.07.2009
    Veröffentlicht in Applied mathematics letters (01.07.2009)
    “… The purpose of this work is to modify the Halpern-type iteration algorithm to have strong convergence under a limit condition only in the framework of Banach spaces …”
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  2. 2

    A modified halpern-type iteration algorithm for totally quasi- ϕ-asymptotically nonexpansive mappings with applications von Chang, S.S., Joseph Lee, H.W., Chan, Chi Kin, Zhang, W.B.

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: Elsevier Inc 05.02.2012
    Veröffentlicht in Applied mathematics and computation (05.02.2012)
    “… The purpose of this article is to modify the Halpern-type iteration algorithm for total quasi- ϕ …”
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  4. 4

    Novel extended Halpern-type convergence algorithms for the split common fixed point problem involving α-demicontractive operators von Xu, H.-Y., Lan, H.-Y., Zhao, Y., Ye, Y.

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 25.01.2025
    Veröffentlicht in Optimization (25.01.2025)
    “… Further, using Xu's inequality and Maingé's lemma, strong convergence theorems of the suggested algorithms are established under some mild conditions …”
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  5. 5

    A modified Halpern-type iteration algorithm for quasi-ϕ -asymptotically nonexpansive mappings and applications von Tang, Yong Kun, Chang, Shih-sen, Wang, Lin, Zhao, Y. H., Chan, Chi Kin

    ISSN: 0139-9918, 1337-2211, 1337-2211
    Veröffentlicht: Heidelberg Versita 01.02.2014
    Veröffentlicht in Mathematica Slovaca (01.02.2014)
    “… The purpose of this article is to modify the Halpern-type iteration algorithm for quasi- ϕ …”
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  6. 6

    A note on “Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings” von Su, Yongfu

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.04.2009
    Veröffentlicht in Nonlinear analysis (01.04.2009)
    “… In [C.O. Chidume, G. De Souza, Convergence of a Halpern-type iteration algorithm for a class of pseudocontractive mappings, Nonlinear Analysis (2007), doi:10.1016/j.na.2007.08.008 …”
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  7. 7

    An Averaged Halpern-Type Algorithm for Solving Fixed-Point Problems and Variational Inequality Problems von Berinde, Vasile, Saleh, Khairul

    ISSN: 2075-1680, 2075-1680
    Veröffentlicht: Basel MDPI AG 01.11.2024
    Veröffentlicht in Axioms (01.11.2024)
    “… In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings …”
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  8. 8

    A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds von He, Huimin, Peng, Jigen, Fan, Qinwei

    ISSN: 0163-0563, 1532-2467
    Veröffentlicht: Abingdon Taylor & Francis 27.07.2023
    Veröffentlicht in Numerical functional analysis and optimization (27.07.2023)
    “… In this paper, we propose a novel Halpern-type algorithm and prove that the sequence generated by the algorithm converges strongly to the common element of the set of fixed points of the two firmly …”
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  9. 9

    A new modified Halpern-type splitting algorithm for solving monotone inclusion problems in reflexive Banach spaces von Chen, Lulu, Cai, Gang, Cholamjiak, Prasit, Inkrong, Papatsara

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.03.2025
    Veröffentlicht in Journal of global optimization (01.03.2025)
    “… This paper mainly introduces a new modified Halpern-type splitting algorithm for solving the monotone inclusion problem in real reflexive Banach spaces …”
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    An inertial Halpern-type algorithm involving monotone operators on real Banach spaces with application to image recovery problems von Muangchoo, Kanikar, Adamu, Abubakar, Ibrahim, Abdulkarim Hassan, Abubakar, Auwal Bala

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.12.2022
    Veröffentlicht in Computational & applied mathematics (01.12.2022)
    “… In this work, an inertial Halpern-type algorithm involving monotone operators is proposed in the setting of real Banach spaces that are 2-uniformly convex and uniformly smooth …”
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    Strong convergence of an inertial Halpern type algorithm in Banach spaces von Ranjbar, Sajad

    ISSN: 0009-725X, 1973-4409
    Veröffentlicht: Cham Springer International Publishing 01.04.2023
    Veröffentlicht in Rendiconti del Circolo matematico di Palermo (01.04.2023)
    “… In this article, we obtain the strong convergence of the new modified Halpern iteration process x n + 1 = α n u + ( 1 - α n ) T n P ( x n + θ n ( x n - x n - 1 …”
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    Strong convergence of an inertial Halpern type algorithm in Banach spaces von Ranjbar, Sajad

    ISSN: 0009-725X, 1973-4409
    Veröffentlicht: Cham Springer International Publishing 01.03.2023
    Veröffentlicht in Rendiconti del Circolo matematico di Palermo (01.03.2023)
    “… In this article, we obtain the strong convergence of the new modified Halpern iteration process x n + 1 = α n u + ( 1 - α n ) T n P ( x n + θ n ( x n - x n - 1 …”
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    Quantitative results on a Halpern-type proximal point algorithm von Leuştean, Laurenţiu, Pinto, Pedro

    ISSN: 0926-6003, 1573-2894
    Veröffentlicht: New York Springer US 01.05.2021
    Veröffentlicht in Computational optimization and applications (01.05.2021)
    “… We apply proof mining methods to analyse a result of Boikanyo and Moroşanu on the strong convergence of a Halpern-type proximal point algorithm …”
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  14. 14

    A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces von Zegeye, Habtu, Boikanyo, Oganeditse A.

    ISSN: 2299-3231, 2299-3231
    Veröffentlicht: De Gruyter 01.01.2023
    Veröffentlicht in Topological algebra and its applications (01.01.2023)
    “… In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings …”
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    An inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces von Ma, Xiaojun, Liu, Hongwei

    ISSN: 1598-5865, 1865-2085
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022
    Veröffentlicht in Journal of applied mathematics & computing (01.06.2022)
    “… In this work, we introduce an inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces …”
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    Halpern-type Bregman Projection Algorithms for Split Variational Inequality Problems von Liu, Liya, Li, Tiexiang, Qin, Xiaolong

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.01.2026
    Veröffentlicht in Journal of optimization theory and applications (01.01.2026)
    “… The purpose of this paper is to investigate two Halpern-type Bregman projection algorithms with inertial factors and self-adaptive stepsizes for solving split variational inequality problems in real Hilbert spaces …”
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    Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces von Eslamian, Mohammad

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Veröffentlicht: Cham Springer International Publishing 19.01.2024
    Veröffentlicht in Journal of inequalities and applications (19.01.2024)
    “… inclusion problem in 2-uniformly convex and uniformly smooth Banach spaces. We propose an inertial Halpern-type iterative algorithm for obtaining a solution of the problem and derive a strong convergence theorem for the algorithm …”
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    Convergence analysis of a Halpern type algorithm for accretive operators von Yu, Youli

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Elsevier Ltd 01.09.2012
    Veröffentlicht in Nonlinear analysis (01.09.2012)
    “… In this paper, we study the convergence of a Halpern type proximal point algorithm for accretive operators in Banach spaces …”
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    A Rate of Metastability for the Halpern Type Proximal Point Algorithm von Pinto, Pedro

    ISSN: 0163-0563, 1532-2467
    Veröffentlicht: Abingdon Taylor & Francis 17.02.2021
    Veröffentlicht in Numerical functional analysis and optimization (17.02.2021)
    “… Using proof-theoretical techniques, we analyze a proof by Hong-Kun Xu regarding a result of strong convergence for the Halpern type proximal point algorithm …”
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    On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space von Kohlenbach, Ulrich

    ISSN: 1862-4480, 1862-4472, 1862-4480
    Veröffentlicht: Berlin, Heidelberg Springer 01.03.2022
    Veröffentlicht in Optimization letters (01.03.2022)
    “… of the proximal point algorithm PPA and its strongly convergent Halpern …”
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