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Showing 1-20 of 2,445 results
  1. A modified inertial Tseng technique of Bilevel variational inequality problem with application to image processing

    In this paper, we propose and study a new modified Tseng inertial iterative technique for solving Bilevel quasimonotone Variational Inequality...

    A. A. Mebawondu, R. George, ... F. A. Kasali in The Journal of Analysis
    Article 15 April 2024
  2. Self-adaptive Technique with Double Inertial Steps for Inclusion Problem on Hadamard Manifolds

    In this article, we investigate monotone and Lipschitz continuous variational inclusion problem in the settings of Hadamard manifolds. We propose a...

    Hammed Anuoluwapo Abass, Olawale Kazeem Oyewole, ... Lateef Olakunle Jolaoso in Journal of the Operations Research Society of China
    Article Open access 02 April 2024
  3. Extragradient method with inertial iterative technique for pseudomonotone split equilibrium and fixed point problems of new map**s

    We develop an inertial iterative algorithm using a new extragradient method to find the common solution for pseudomonotone split equilibrium and...

    Mohammad Farid, Pronpat Peeyada, ... Watcharaporn Cholamjiak in The Journal of Analysis
    Article 26 December 2023
  4. Relaxed-inertial derivative-free algorithm for systems of nonlinear pseudo-monotone equations

    Solving systems of nonlinear equations has evolved into an active research field, with numerous iterative methods being proposed. Notably, iterative...

    Abdulkarim Hassan Ibrahim, Sanja Rapajić, ... Zoltan Papp in Computational and Applied Mathematics
    Article 15 May 2024
  5. An effective inertial-relaxed CGPM for nonlinear monotone equations

    In this paper, we propose an effective inertial-relaxed CGPM by considering the Armijo line search technique proposed by Amini and Kamandi (Numer...

    **bao Jian, Zhiwen Ren, ... **aodi Wu in Journal of Applied Mathematics and Computing
    Article 22 January 2024
  6. Sequential inertial linear ADMM algorithm for nonconvex and nonsmooth multiblock problems with nonseparable structure

    The alternating direction method of multipliers (ADMM) has been widely used to solve linear constrained problems in signal processing, matrix...

    Zhonghui Xue, Kaiyuan Yang, ... Yazheng Dang in Journal of Inequalities and Applications
    Article Open access 08 May 2024
  7. An inertial ADMM for a class of nonconvex composite optimization with nonlinear coupling constraints

    In this paper, we propose an inertial alternating direction method of multipliers for solving a class of non-convex multi-block optimization problems...

    Le Thi Khanh Hien, Dimitri Papadimitriou in Journal of Global Optimization
    Article 19 March 2024
  8. An Inertial Spectral CG Projection Method Based on the Memoryless BFGS Update

    Combining the derivative-free projection with inertial technique, we propose a hybrid inertial spectral conjugate gradient projection method for...

    **aoyu Wu, Hu Shao, ... Yue Zhuo in Journal of Optimization Theory and Applications
    Article 11 July 2023
  9. A New Inertial Self-adaptive Gradient Algorithm for the Split Feasibility Problem and an Application to the Sparse Recovery Problem

    In this paper, by combining the inertial technique and the gradient descent method with Polyak’s stepsizes, we propose a novel inertial self-adaptive...

    Nguyen The Vinh, Pham Thi Hoai, ... Yeol Je Cho in Acta Mathematica Sinica, English Series
    Article 15 December 2023
  10. Double Inertial Proximal Gradient Algorithms for Convex Optimization Problems and Applications

    In this paper, we propose double inertial forward-backward algorithms for solving unconstrained minimization problems and projected double inertial...

    Kunrada Kankam, Prasit Cholamjiak in Acta Mathematica Scientia
    Article 29 April 2023
  11. Strongly Convergent Inertial Proximal Point Algorithm Without On-line Rule

    We present a strongly convergent Halpern-type proximal point algorithm with double inertial effects to find a zero of a maximal monotone operator in...

    Lateef O. Jolaoso, Yekini Shehu, Jen-Chih Yao in Journal of Optimization Theory and Applications
    Article 21 December 2023
  12. Forward–backward–forward algorithms involving two inertial terms for monotone inclusions

    We come up with a new type of forward–backward–forward algorithms for monotone inclusion problems based on a self-adaptive technique to avoid the...

    Suthep Suantai, Papatsara Inkrong, Prasit Cholamjiak in Computational and Applied Mathematics
    Article 18 July 2023
  13. An inertial Dai-Liao conjugate method for convex constrained monotone equations that avoids the direction of maximum magnification

    This paper exploits the good features of the Dai-Liao (DL) conjugate gradient (CG) method in connection with the inertial interpolation and the...

    Jamilu Sabi’u, Sekson Sirisubtawee in Journal of Applied Mathematics and Computing
    Article 27 May 2024
  14. A Bregman inertial forward-reflected-backward method for nonconvex minimization

    We propose a Bregman inertial forward-reflected-backward (BiFRB) method for nonconvex composite problems. Assuming the generalized concave...

    **anfu Wang, Ziyuan Wang in Journal of Global Optimization
    Article 16 December 2023
  15. Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces

    This paper deals with a class of inertial gradient projection methods for solving a variational inequality problem involving pseudomonotone and...

    Article 08 September 2023
  16. Novel inertial methods for fixed point problems in reflexive Banach spaces with applications

    In this paper, we suggest and analyze four inertial algorithms for solving fixed point problems of Bregman quasi-nonexpansive map**s in the...

    Pongsakorn Sunthrayuth, Kunrada Kankam, ... Somnuk Srisawat in Rendiconti del Circolo Matematico di Palermo Series 2
    Article 10 December 2023
  17. General inertial proximal stochastic variance reduction gradient for nonconvex nonsmooth optimization

    In this paper, motivated by the competitive performance of the proximal stochastic variance reduction gradient (Prox-SVRG) method, a novel general...

    Article Open access 17 February 2023
  18. A Mirror Inertial Forward–Reflected–Backward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness

    This work investigates a Bregman and inertial extension of the forward–reflected–backward algorithm (Malitsky and Tam in SIAM J Optim 30:1451–1472,...

    Ziyuan Wang, Andreas Themelis, ... **anfu Wang in Journal of Optimization Theory and Applications
    Article 20 February 2024
  19. A proximal gradient method with double inertial steps for minimization problems involving demicontractive map**s

    In this article, we present a novel proximal gradient method based on double inertial steps for solving fixed points of demicontractive map** and...

    Thanasak Mouktonglang, Wipawinee Chaiwino, Raweerote Suparatulatorn in Journal of Inequalities and Applications
    Article Open access 15 May 2024
  20. An inertial Fletcher–Reeves-type conjugate gradient projection-based method and its spectral extension for constrained nonlinear equations

    In this paper, we initially enhance the Fletcher–Reeves (FR) conjugate parameter through a shrinkage multiplier, leading to a derivative-free...

    Haiyan Zheng, Jiayi Li, ... **anglin Rong in Journal of Applied Mathematics and Computing
    Article 04 April 2024
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