Search Results - Modified hybrid projection iteration algorithm

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  1. 1

    Convergence theorems of a modified hybrid algorithm for a family of quasi-φ-asymptotically nonexpansive mappings by Zhou, Haiyun, Gao, Gailiang, Tan, Bin

    ISSN: 1598-5865, 1865-2085
    Published: Berlin/Heidelberg Springer-Verlag 01.04.2010
    Published in Journal of applied mathematics & computing (01.04.2010)
    “…The purpose of this article is to propose a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi- φ…”
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    Journal Article
  2. 2

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

    ISSN: 0893-9659, 1873-5452
    Published: Kidlington Elsevier Ltd 01.07.2009
    Published 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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    Journal Article
  3. 3

    Modified Hybrid Projection Methods with SP Iterations for Quasi-Nonexpansive Multivalued Mappings in Hilbert Spaces by Chaolamjiak, Watcharaporn, Yambangwai, Damrongsak, Hammad, Hasanen A.

    ISSN: 1017-060X, 1735-8515
    Published: Singapore Springer Singapore 01.10.2021
    “… We then obtain weak convergence theorem under suitable conditions. The strong convergence theorems are given using CQ and shrinking projection methods with our modified iteration…”
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  4. 4

    A modified successive projection method for Mann’s iteration process by He, Songnian, Yang, Zhuo

    ISSN: 1661-7738, 1661-7746, 2730-5422
    Published: Cham Springer International Publishing 01.03.2019
    “… A modified successive projection method for Mann’s iteration process proposed in this paper not only has strong convergence, but also is easy to implement…”
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  5. 5

    Two modified inertial projection algorithms for bilevel pseudomonotone variational inequalities with applications to optimal control problems by Tan, Bing, Qin, Xiaolong, Yao, Jen-Chih

    ISSN: 1017-1398, 1572-9265
    Published: New York Springer US 01.12.2021
    Published in Numerical algorithms (01.12.2021)
    “… The advantages of our algorithms are that they only need to calculate one projection on the feasible set in each iteration, and do not require the prior information of the Lipschitz constant of the cost operator…”
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  6. 6

    Parallel modified methods for pseudomonotone equilibrium problems and fixed point problems for quasi-nonexpansive mappings by Van Hieu, Dang, Thai, Bui Huu, Kumam, Poom

    ISSN: 2662-2009, 2538-225X
    Published: Cham Springer International Publishing 01.09.2020
    Published in Advances in operator theory (01.09.2020)
    “… The first one is a modified hybrid method which combines…”
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  7. 7

    An accelerated derivative-free memoryless Davidon-Fletcher-Powell method and its iteration-complexity analysis by Liu, Pengjie, Li, Jiayi, Shao, Hu, Wu, Ting

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.11.2025
    Published in Journal of scientific computing (01.11.2025)
    “…) quasi-Newton updating formula. In this paper, we extend this method to obtain an accelerated derivative-free memoryless DFP method, combined with a hyperplane projection technique and an inertial extrapolation step, for solving…”
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  8. 8

    A hybrid algorithm for solving linear inequalities in a least squares sense by Dax, Achiya

    ISSN: 1017-1398, 1572-9265
    Published: Boston Springer US 01.02.2009
    Published in Numerical algorithms (01.02.2009)
    “… That is, we are looking for a small nonnegative vector, y ≥ 0 , for which the modified system A x ≥ b - y is solvable…”
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  9. 9
  10. 10

    Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings by Cholamjiak, Watcharaporn, Suantai, Suthep

    ISSN: 1085-3375, 1687-0409
    Published: New York Hindawi Limiteds 01.01.2009
    Published in Abstract and Applied Analysis (01.01.2009)
    “…We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space…”
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    Journal Article
  11. 11

    Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions by Qin, Xiaolong, Cho, Yeol Je, Kang, Shin Min, Zhou, Haiyun

    ISSN: 0362-546X, 1873-5215
    Published: Amsterdam Elsevier Ltd 01.07.2009
    Published in Nonlinear analysis (01.07.2009)
    “…In an infinite-dimensional Hilbert space, the normal Mann’s iteration has only weak convergence, in general, even for nonexpansive mappings…”
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  12. 12

    Modified subgradient extragradient algorithms for systems of generalized equilibria with constraints by Ceng, Lu-Chuan, Zhu, Li-Jun, Yin, Tzu-Chien

    ISSN: 2473-6988, 2473-6988
    Published: AIMS Press 01.01.2023
    Published in AIMS mathematics (01.01.2023)
    “… The proposed algorithms are based on the subgradient extragradient rule with linear-search process, Mann implicit iteration approach, and hybrid deepest-descent technique…”
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  13. 13

    Monotone Hybrid Projection Algorithms for an Infinitely Countable Family of Lipschitz Generalized Asymptotically Quasi-Nonexpansive Mappings by Cholamjiak, Watcharaporn, Suantai, Suthep

    ISSN: 1085-3375, 1687-0409
    Published: Cairo, Egypt Hindawi Puplishing Corporation 2009
    Published in Abstract and applied analysis (2009)
    “…We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space…”
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    Journal Article
  14. 14

    Hybrid Multi-level solvers for discontinuous Galerkin finite element discrete ordinate diffusion synthetic acceleration of radiation transport algorithms by O’Malley, B., Kópházi, J., Smedley-Stevenson, R.P., Eaton, M.D.

    ISSN: 0306-4549, 1873-2100
    Published: Elsevier Ltd 01.04.2017
    Published in Annals of nuclear energy (01.04.2017)
    “…•First method projects from linear discontinuous to constant discontinuous space.•Used in combination with various AMG algorithms for low-level correction…”
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  15. 15

    A parallel extragradient-like projection method for unrelated variational inequalities and fixed point problems by Anh, Pham Ngoc, Phuong, Ngo Xuan

    ISSN: 1661-7738, 1661-7746, 2730-5422
    Published: Cham Springer International Publishing 01.06.2018
    “…In this paper, we introduce a parallel extragradient-like projection algorithm for finding a common solution of a system of unrelated variational inequalities and fixed point problems corresponding…”
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  16. 16

    Strong convergence theorems for a family of Lipschitz quasi-pseudo-contractions in Hilbert spaces by Zhou, Haiyun

    ISSN: 0362-546X, 1873-5215
    Published: Amsterdam Elsevier Ltd 01.07.2009
    Published in Nonlinear analysis (01.07.2009)
    “…The purpose of this paper is to propose several modified hybrid projection algorithms and prove several strong convergence theorems for common fixed points of a family of Lipschitz quasi-pseudo…”
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  17. 17

    Stochastic Variance Reduction for DR-Submodular Maximization by Lian, Yuefang, Du, Donglei, Wang, Xiao, Xu, Dachuan, Zhou, Yang

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer US 01.05.2024
    Published in Algorithmica (01.05.2024)
    “… In this paper, we introduce two projection-free stochastic approximation algorithms for maximizing diminishing return (DR…”
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  18. 18

    Kalman filtering with state-dependent packet losses by Thapliyal, Omanshu, Nandiganahalli, Jayaprakash Suraj, Hwang, Inseok

    ISSN: 1751-8644, 1751-8652
    Published: The Institution of Engineering and Technology 29.01.2019
    Published in IET control theory & applications (29.01.2019)
    “… of such an estimator challenging. This estimation problem subject to state-dependent packet losses is formulated using a state-dependent hybrid measurement model and solved using the projection theorem-based approach to obtain…”
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  19. 19

    Hybrid Approximate Proximal Point Algorithms for Variational Inequalities in Banach Spaces by Ceng, L. C., Guu, S. M., Yao, J. C.

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Published: Cham Springer International Publishing 01.01.2009
    Published in Journal of inequalities and applications (01.01.2009)
    “…( ): find such that for all , where is a given element. By combining the approximate proximal point scheme both with the modified Ishikawa iteration and with the modified…”
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  20. 20

    Approximation theorems for total quasi-ϕ-asymptotically nonexpansive mappings with applications by Chang, Shih-sen, Joseph Lee, H.W., Chan, Chi Kin, Yang, Li

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 15.11.2011
    Published in Applied mathematics and computation (15.11.2011)
    “… In order to get the approximation theorems, the hybrid algorithms are presented and are used to approximate the common fixed points…”
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