Results 11 to 20 of about 748 (130)

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 convergence of the iterative sequence generated by the first algorithm.
Tadchai Yuying, Bui Van Dinh, Do Sang Kim, Somyot Plubtieng   +3 more
openaire   +5 more sources

Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

Journal of Mathematics, 2021
In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding ...
Danfeng Wu, Li-Jun Zhu, Zhuang Shan, Tzu-Chien Yin   +3 more
doaj   +2 more sources

Mann Hybrid Deepest-Descent Extragradient Method with Line-Search Process for Hierarchical Variational Inequalities for Countable Nonexpansive Mappings

Journal of Mathematics, 2023
In real Hilbert spaces, let the CFPP indicate a common fixed-point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a ...
Yun-Ling Cui, Lu-Chuan Ceng, Fang-Fei Zhang, Liang He, Jie Yin, Cong-Shan Wang, Hui-Ying Hu   +6 more
doaj   +2 more sources

Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities

Journal of Function Spaces, 2021
The primary objective of this study is to introduce two novel extragradient-type iterative schemes for solving variational inequality problems in a real Hilbert space.
Chainarong Khunpanuk, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +2 more sources

Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space

Journal of Mathematics, 2022
In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz-type continuous bifunctions are involved in a real Hilbert space.
Gaobo Li
doaj   +2 more sources

A class of strongly convergent subgradient extragradient methods for solving quasimonotone variational inequalities

Demonstratio Mathematica, 2023
The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur, Kumam Poom, Ozdemir Murat, Yildirim Isa, Kumam Wiyada   +4 more
doaj   +4 more sources

Modified Mann-Type Subgradient Extragradient Rules for Variational Inequalities and Common Fixed Points Implicating Countably Many Nonexpansive Operators

Mathematics, 2022
In a real Hilbert space, let the CFPP, VIP, and HFPP denote the common fixed-point problem of countable nonexpansive operators and asymptotically nonexpansive operator, variational inequality problem, and hierarchical fixed point problem, respectively ...
Yun-Ling Cui, Lu-Chuan Ceng, Fang-Fei Zhang, Cong-Shan Wang, Jian-Ye Li, Hui-Ying Hu, Long He   +6 more
doaj   +1 more source

Modified Inertial-Type Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Finite Bregman Relatively Nonexpansive and Demicontractive Mappings

Axioms, 2023
In this paper, we design two inertial-type subgradient extragradient algorithms with the linear-search process for resolving the two pseudomonotone variational inequality problems (VIPs) of and the common fixed point problem (CFPP) of finite Bregman ...
Cong-Shan Wang, Lu-Chuan Ceng, Bing Li, Sheng-Long Cao, Hui-Ying Hu, Yun-Shui Liang   +5 more
doaj   +1 more source

Projected-Reflected Subgradient-Extragradient Method and Its Real-World Applications [PDF]

Symmetry, 2021
Our main focus in this work is the classical variational inequality problem with Lipschitz continuous and pseudo-monotone mapping in real Hilbert spaces. An adaptive reflected subgradient-extragradient method is presented along with its weak convergence analysis.
Aviv Gibali, Olaniyi Samuel Iyiola, Lanre Akinyemi, Yekini Shehu   +3 more
openaire   +1 more source

Hybrid Alternated Inertial Projection and Contraction Algorithm for Solving Bilevel Variational Inequality Problems

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This paper considers an alternated inertial‐type extrapolation algorithm for solving bilevel pseudomonotone variational inequality problem in the framework of real Hilbert spaces with split variational inequality and fixed‐point constraints of demimetric mapping.
Jacob Ashiwere Abuchu, Austine Efut Ofem, Godwin Chidi Ugwunnadi, Ojen Kumar Narain, Azhar Hussain, Xian-Ming Gu   +5 more
wiley   +1 more source