Výsledky vyhledávání - Halpern-type algorithm
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Convergence of a modified Halpern-type iteration algorithm for quasi- ϕ -nonexpansive mappings
ISSN: 0893-9659, 1873-5452Vydáno: Kidlington Elsevier Ltd 01.07.2009Vydáno v 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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A modified halpern-type iteration algorithm for totally quasi- ϕ-asymptotically nonexpansive mappings with applications
ISSN: 0096-3003, 1873-5649Vydáno: Elsevier Inc 05.02.2012Vydáno v 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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Inertial Tseng’s method and Halpern-type algorithm for solving split variational inequality and fixed point problems
ISSN: 0971-3611, 2367-2501Vydáno: 15.11.2025Vydáno v The Journal of Analysis (15.11.2025)Získat plný text
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Novel extended Halpern-type convergence algorithms for the split common fixed point problem involving α-demicontractive operators
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis 25.01.2025Vydáno v 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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A modified Halpern-type iteration algorithm for quasi-ϕ -asymptotically nonexpansive mappings and applications
ISSN: 0139-9918, 1337-2211, 1337-2211Vydáno: Heidelberg Versita 01.02.2014Vydáno v 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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A note on “Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings”
ISSN: 0362-546X, 1873-5215Vydáno: Amsterdam Elsevier Ltd 01.04.2009Vydáno v 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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An Averaged Halpern-Type Algorithm for Solving Fixed-Point Problems and Variational Inequality Problems
ISSN: 2075-1680, 2075-1680Vydáno: Basel MDPI AG 01.11.2024Vydáno v 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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A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds
ISSN: 0163-0563, 1532-2467Vydáno: Abingdon Taylor & Francis 27.07.2023Vydáno v 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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A new modified Halpern-type splitting algorithm for solving monotone inclusion problems in reflexive Banach spaces
ISSN: 0925-5001, 1573-2916Vydáno: New York Springer US 01.03.2025Vydáno v 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
ISSN: 2238-3603, 1807-0302Vydáno: Cham Springer International Publishing 01.12.2022Vydáno v 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
ISSN: 0009-725X, 1973-4409Vydáno: Cham Springer International Publishing 01.04.2023Vydáno v 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
ISSN: 0009-725X, 1973-4409Vydáno: Cham Springer International Publishing 01.03.2023Vydáno v 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
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.05.2021Vydáno v 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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A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces
ISSN: 2299-3231, 2299-3231Vydáno: De Gruyter 01.01.2023Vydáno v 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
ISSN: 1598-5865, 1865-2085Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022Vydáno v 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
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.01.2026Vydáno v 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
ISSN: 1029-242X, 1025-5834, 1029-242XVydáno: Cham Springer International Publishing 19.01.2024Vydáno v 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
ISSN: 0362-546X, 1873-5215Vydáno: Elsevier Ltd 01.09.2012Vydáno v 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
ISSN: 0163-0563, 1532-2467Vydáno: Abingdon Taylor & Francis 17.02.2021Vydáno v 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
ISSN: 1862-4480, 1862-4472, 1862-4480Vydáno: Berlin, Heidelberg Springer 01.03.2022Vydáno v Optimization letters (01.03.2022)“… of the proximal point algorithm PPA and its strongly convergent Halpern…”
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