Results 11 to 20 of about 745 (143)

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

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

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

Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space

Journal of Inequalities and Applications, 2021
For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
doaj   +1 more source

Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we present improved iterative methods for evaluating the numerical solution of an equilibrium problem in a Hilbert space with a pseudomonotone and a Lipschitz‐type bifunction. The method is built around two computing phases of a proximal‐like mapping with inertial terms.
Chainarong Khunpanuk, Nuttapol Pakkaranang, Bancha Panyanak, Cristian Chifu   +3 more
wiley   +1 more source

On Mann implicit composite subgradient extragradient methods for general systems of variational inequalities with hierarchical variational inequality constraints

Journal of Inequalities and Applications, 2022
In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng, Jen-Chih Yao, Yekini Shehu   +2 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 S. Iyiola, Lanre Akinyemi, Yekini Shehu   +3 more
openaire   +1 more source

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin, Yan-Kuen Wu, Ching-Feng Wen, Ljubisa Kocinac   +3 more
wiley   +1 more source