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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 69, 2020 - Issue 5
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Articles

Iterative methods for solving the generalized split common null point problem in Hilbert spaces

Simeon ReichDepartment of Mathematics, The Technion – Israel Institute of Technology, Haifa, IsraelView further author information
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Truong Minh TuyenInstitute of Research and Development, Duy Tan University, Danang, Vietnam;Department of Mathematics and Informatics, Thai Nguyen University of Sciences, Thai Nguyen, VietnamCorrespondence[email protected]
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Pages 1013-1038 | Received 17 Nov 2018, Accepted 03 Aug 2019, Published online: 20 Aug 2019

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Truong Minh Tuyen. (2023) A cyclic iterative method for solving the system of split equality zero-point problems. Optimization 72:12, pages 2989-3012.
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Simeon Reich & Minh Tuyen Truong. (2023) A parallel algorithm for solving a pair of two variational inequalities in Hilbert spaces. Optimization 0:0, pages 1-26.
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Mohammad Eslamian & Ahmad Kamandi. (2023) Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings. Numerical Functional Analysis and Optimization 44:12, pages 1251-1275.
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Simeon Reich, Truong Minh Tuyen & Phan Thi Van Huyen. (2023) New Algorithms for Solving the Split Common Zero Point Problem in Hilbert Space. Numerical Functional Analysis and Optimization 44:10, pages 1012-1030.
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Wenlong Sun, Yuanfeng Jin, Zufeng Peng & Qi Liu. (2023) Two new self-adaptive algorithms for solving split common fixed point problems with multiple output sets. Optimization 0:0, pages 1-15.
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Simeon Reich & Truong Minh Tuyen. (2022) A new approach to solving split equality problems in Hilbert spaces. Optimization 71:15, pages 4423-4445.
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Jong Kyu Kim, Truong Minh Tuyen & Mai Thi Ngoc Ha. (2021) Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces. Numerical Functional Analysis and Optimization 42:8, pages 973-988.
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Simeon Reich, Truong Minh Tuyen & Nguyen Minh Trang. (2020) Parallel Iterative Methods for Solving the Split Common Fixed Point Problem in Hilbert Spaces. Numerical Functional Analysis and Optimization 41:7, pages 778-805.
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Articles from other publishers (37)

Simeon Reich, Truong Minh Tuyen & Nguyen Thi Trang. (2024) New iterative algorithms for solving a class of split common solution problems and their applications. Journal of Computational and Applied Mathematics 440, pages 115637.
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Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan & Parinya Sa Ngiamsunthorn. (2021) Parallel shrinking inertial extragradient approximants for pseudomonotone equilibrium, fixed point and generalized split null point problem. Ricerche di Matematica 73:2, pages 937-963.
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Simeon Reich, Truong Minh Tuyen & Phan Thi Van Huyen. (2023) Inertial Proximal Point Algorithms for Solving a Class of Split Feasibility Problems. Journal of Optimization Theory and Applications 200:3, pages 951-977.
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Mohammad Eslamian & Ahmad Kamandi. (2024) Hierarchical variational inequality problem and split common fixed point of averaged operators. Journal of Computational and Applied Mathematics 437, pages 115490.
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Guash Haile Taddele, Poom Kumam, Songpon Sriwongsa & Mahmoud Muhammad Yahaya. (2024) An inertial accelerated outer quadratic approximation method for split feasibility problem with application to elastic net. Computational and Applied Mathematics 43:1.
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Simeon Reich & Truong Minh Tuyen. (2023) Two new self-adaptive algorithms for solving the split feasibility problem in Hilbert space. Numerical Algorithms 95:2, pages 1011-1032.
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Mohammad Eslamian. (2024) Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces. Journal of Inequalities and Applications 2024:1.
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Olawale Kazeem Oyewole, Hammed Anuoluwapo Abass, Kazeem Olalekan Aremu & Morufu Oyedunsi Olayiwola. (2024) Convergence theorem for fixed point and split generalized variational inclusion problems with multiple output sets in Banach spaces. Rendiconti del Circolo Matematico di Palermo Series 2.
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T. O. Alakoya & O. T. Mewomo. (2023) Mann-Type Inertial Projection and Contraction Method for Solving Split Pseudomonotone Variational Inequality Problem with Multiple Output Sets. Mediterranean Journal of Mathematics 20:6.
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Mohd Asad, Mohammad Dilshad, Doaa Filali & Mohammad Akram. (2023) A Modified Viscosity-Type Self-Adaptive Iterative Algorithm for Common Solution of Split Problems with Multiple Output Sets in Hilbert Spaces. Mathematics 11:19, pages 4175.
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Phumin Sumalai, Jamilu Abubakar, Poom Kumam & Sani Salisu. (2023) A unified scheme for solving split inclusions with applications. Mathematical Methods in the Applied Sciences 46:13, pages 14622-14639.
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Emeka C. Godwin, Oluwatosin T. Mewomo & Timilehin O. Alakoya. (2023) On split generalized equilibrium problem with multiple output sets and common fixed points problem. Demonstratio Mathematica 56:1.
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Victor Amarachi Uzor, Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2023) On Split Monotone Variational Inclusion Problem with Multiple Output Sets with Fixed Point Constraints. Computational Methods in Applied Mathematics 23:3, pages 729-749.
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Chibueze C. Okeke, Lateef O. Jolaoso & Yekini Shehu. (2023) Inertial accelerated algorithms for solving split feasibility with multiple output sets in Hilbert spaces. International Journal of Nonlinear Sciences and Numerical Simulation 24:2, pages 769-790.
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Yaxuan Zhang & Yuming Guan. (2023) A New Algorithm for the Split Feasibility Problem With Multiple Output Sets in Hilbert Spaces. WSEAS TRANSACTIONS ON MATHEMATICS 22, pages 100-108.
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Guash Haile Taddele, Poom Kumam, Pongsakorn Sunthrayuth & Anteneh Getachew Gebrie. (2022) Self-adaptive algorithms for solving split feasibility problem with multiple output sets. Numerical Algorithms 92:2, pages 1335-1366.
Crossref
Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo. (2023) A Relaxed Inertial Tseng’s Extragradient Method for Solving Split Variational Inequalities with Multiple Output Sets. Mathematics 11:2, pages 386.
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Chibueze C. Okeke, Abubakar Adamu, Ratthaprom Promkam & Pongsakorn Sunthrayuth. (2023) Two-step inertial method for solving split common null point problem with multiple output sets in Hilbert spaces. AIMS Mathematics 8:9, pages 20201-20222.
Crossref
Guash Haile Taddele, Poom Kumam, Habib ur Rehman & Anteneh Getachew Gebrie. (2023) Self adaptive inertial relaxed $ CQ $ algorithms for solving split feasibility problem with multiple output sets. Journal of Industrial and Management Optimization 19:1, pages 1.
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Yasir Arfat, Olaniyi S. Iyiola, Muhammad Aqeel Ahmad Khan, Poom Kumam, Wiyada Kumam & Kanokwan Sitthithakerngkiet. (2022) Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem. Journal of Inequalities and Applications 2022:1.
Crossref
Prasit Cholamjiak, Dang Van Hieu & Le Dung Muu. (2022) Inertial Splitting Methods Without Prior Constants for Solving Variational Inclusions of Two Operators. Bulletin of the Iranian Mathematical Society 48:6, pages 3019-3045.
Crossref
Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan & Olaniyi S. Iyiola. (2021) Multi-inertial parallel hybrid projection algorithm for generalized split null point problems. Journal of Applied Mathematics and Computing 68:5, pages 3179-3198.
Crossref
Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan & Parinya Sa Ngiamsunthorn. (2022) An inertial extragradient algorithm for equilibrium and generalized split null point problems. Advances in Computational Mathematics 48:5.
Crossref
Minh Tuyen Truong & Mohammad Eslamian. (2022) A Novel Algorithm for Generalized Split Common Null Point Problem with Applications. Mediterranean Journal of Mathematics 19:5.
Crossref
Pongsakorn Sunthrayuth & Truong Minh Tuyen. (2021) A Generalized Self-Adaptive Algorithm for the Split Feasibility Problem in Banach Spaces. Bulletin of the Iranian Mathematical Society 48:4, pages 1869-1893.
Crossref
Truong Minh Tuyen, Pongsakorn Sunthrayuth & Nguyen Minh Trang. (2021) An inertial self-adaptive algorithm for the generalized split common null point problem in Hilbert spaces. Rendiconti del Circolo Matematico di Palermo Series 2 71:2, pages 537-557.
Crossref
Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan & Parinya Sa Ngiamsunthorn. (2021) Shrinking approximants for fixed point problem and generalized split null point problem in Hilbert spaces. Optimization Letters 16:6, pages 1895-1913.
Crossref
Grace N. Ogwo, Timilehin O. Alakoya & Oluwatosin T. Mewomo. (2022) Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces. Demonstratio Mathematica 55:1, pages 193-216.
Crossref
Godwin Chidi Ugwunnadi, Chinedu Izuchukwu & Abdul Rahim Khan. (2022) Dynamical technique for split common fixed point problem in Banach spaces. Computational and Applied Mathematics 41:4.
Crossref
Simeon Reich, Truong Minh Tuyen, Nguyen Thi Thu Thuy & Mai Thi Ngoc Ha. (2021) A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces. Numerical Algorithms 89:3, pages 1031-1047.
Crossref
Nguyen Thi Thu Thuy & Nguyen Trung Nghia. (2022) A Parallel Algorithm for Generalized Multiple-set Split Feasibility with Application to Optimal Control Problems. Taiwanese Journal of Mathematics -1:-1.
Crossref
Simeon Reich & Truong Minh Tuyen. (2021) Projection Algorithms for Solving the Split Feasibility Problem with Multiple Output Sets. Journal of Optimization Theory and Applications 190:3, pages 861-878.
Crossref
Simeon Reich & Truong Minh Tuyen. (2021) Two new self-adaptive algorithms for solving the split common null point problem with multiple output sets in Hilbert spaces. Journal of Fixed Point Theory and Applications 23:2.
Crossref
Pham Ky Anh, Duong Viet Thong & Vu Tien Dung. (2020) A strongly convergent Mann-type inertial algorithm for solving split variational inclusion problems. Optimization and Engineering 22:1, pages 159-185.
Crossref
Simeon Reich, Minh Tuyen Truong & Thi Ngoc Ha Mai. (2020) The split feasibility problem with multiple output sets in Hilbert spaces. Optimization Letters 14:8, pages 2335-2353.
Crossref
Simeon Reich & Truong Minh Tuyen. (2020) Parallel iterative methods for solving the generalized split common null point problem in Hilbert spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:4.
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Simeon Reich & Truong Minh Tuyen. (2020) Two Projection Algorithms for Solving the Split Common Fixed Point Problem. Journal of Optimization Theory and Applications 186:1, pages 148-168.
Crossref

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