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Extragradient subgradient methods for solving bilevel equilibrium problems [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong ...
Tadchai Yuying +3 more
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Calculation of Robot Multi-Fingered Grasping Force and Displacement Based on the Newton–Subgradient Non-Smooth Greedy Randomized Kaczmarz Method for Solving Linear Complementarity Problem [PDF]
SensorsThe calculation of grasping force and displacement is important for multi-fingered stable grasping and research on slipping damage. By linearizing the friction cone, the robot multi-fingered grasping problem can be represented as a linear complementarity
Zhiwei Ai, Chenliang Li
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Letter to the Editor – Update from Ukraine: Development of the Cloud-based Platform for Patient-centered Telerehabilitation of Oncology Patients with Mathematical-related Modeling [PDF]
International Journal of Telerehabilitation, 2023 This Letter to the Editor provides an update on the research from the Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine. The Institute’s research team in collaboration with Ternopil National Medical University began a new ...
Kyrylo S. Malakhov
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Properties of the Quadratic Transformation of Dual Variables
Algorithms, 2023 We investigate a solution of a convex programming problem with a strongly convex objective function based on the dual approach. A dual optimization problem has constraints on the positivity of variables.
Vladimir Krutikov +5 more
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A Family of Multi-Step Subgradient Minimization Methods
Mathematics, 2023 For solving non-smooth multidimensional optimization problems, we present a family of relaxation subgradient methods (RSMs) with a built-in algorithm for finding the descent direction that forms an acute angle with all subgradients in the neighborhood of
Elena Tovbis +5 more
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Mathematics, 2021 We propose two Mann-type subgradient-like extra gradient iterations with the line-search procedure for hierarchical variational inequality (HVI) with the common fixed-point problem (CFPP) constraint of finite family of nonexpansive mappings and an ...
Lu-Chuan Ceng +2 more
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Mathematics, 2022 The paper develops a modified inertial subgradient extragradient method to find a solution to the variational inequality problem over the set of common solutions to the variational inequality and null point problems.
Yanlai Song, Omar Bazighifan
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Self-adaptive subgradient extragradient-type methods for solving variational inequalities
Journal of Inequalities and Applications, 2022 In this paper, we introduce two subgradient extragradient-type algorithms for solving variational inequality problems in the real Hilbert space. The first one can be applied when the mapping f is strongly pseudomonotone (not monotone) and Lipschitz ...
Beibei Ma, Wanyu Wang
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On Subgradient Methods with Polyak’s Step and Space Transformation
Кібернетика та комп'ютерні технології, 2022 Introduction. Minimization of ravine convex functions, both smooth and non-smooth, arises in many problems of planning, control, stability analysis of dynamic systems, artificial intelligence, and machine learning.
Viktor Stovba, Oleksandr Zhmud
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Parallel FPGA Routers With Lagrange Relaxation
IEEE Access, 2023 Routing of the nets in Field Programmable Gate Array (FPGA) design flow is one of the most time consuming steps. Although Versatile Place and Route (VPR), which is a commonly used algorithm for this purpose, routes effectively, it is slow in execution ...
Rohit Agrawal +5 more
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