Results 31 to 40 of about 13,235,971 (148)

Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems [PDF]

Journal of Inequalities and Applications, 2019
In this paper, we introduce and investigate composite inertial gradient-based algorithms with a line-search process for solving a variational inequality problem (VIP) with a pseudomonotone and Lipschitz continuous mapping and a common fixed-point problem
Lu-Chuan Ceng, Qing Yuan
doaj   +3 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

A Double-Inertial Two-Subgradient Extragradient Algorithm for Solving Variational Inequalities with Minimum-Norm Solutions

Mathematics
Variational inequality problems (VIPs) provide a versatile framework for modeling a wide range of real-world applications, including those in economics, engineering, transportation, and image processing.
Ioannis K. Argyros, Fouzia Amir, Habib ur Rehman, Christopher Argyros   +3 more
doaj   +2 more sources

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

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

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

A Generalized Strong Convergence Algorithm in the Presence of Errors for Variational Inequality Problems in Hilbert Spaces

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we study the strong convergence of an algorithm to solve the variational inequality problem which extends a recent paper (Thong et al., Numerical Algorithms. 78, 1045‐1060 (2018)). We reduce and refine some of their algorithm conditions and we prove the convergence of the algorithm in the presence of some computational errors.
Mostafa Ghadampour, Donal O’Regan, Ebrahim Soori, Ravi P. Agarwal, Ismat Beg   +4 more
wiley   +1 more source

Robust Subgradient Extragradient Methods With Increasing Step‐Size Rules for Equilibrium Problems

Mathematical Methods in the Applied Sciences
ABSTRACT We propose two modified subgradient extragradient methods for solving equilibrium problems associated with pseudomonotone bifunctions of Lipschitz type in real Hilbert spaces. The principal novelty of the proposed algorithms lies in an increasing self‐adaptive step‐size rule
Habib ur Rehman, Kamonrat Sombut, Thidaporn Seangwattana   +2 more
openaire   +2 more sources

A new subgradient extragradient method for solving the split modified system of variational inequality problems and fixed point problem

Journal of Inequalities and Applications, 2022
We introduce a new subgradient extragradient algorithm utilizing the concept of the set of solutions of the split modified system of variational inequality problems (SMSVIP).
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems

Fixed Point Theory and Applications, 2020
In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
doaj   +1 more source