Results 41 to 50 of about 1,262,506 (179)

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

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   +1 more source

Strong Convergence of Extragradient-Type Method to Solve Pseudomonotone Variational Inequalities Problems

Axioms, 2020
A number of applications from mathematical programmings, such as minimax problems, penalization methods and fixed-point problems can be formulated as a variational inequality model.
Nopparat Wairojjana, Nuttapol Pakkaranang, Habib ur Rehman, Nattawut Pholasa, Tiwabhorn Khanpanuk   +4 more
doaj   +1 more source

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   +1 more source

A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems

Fixed Point Theory, 2020
In this paper, we introduce a modified inertial subgradient extragradient method for solving a variational inequality problem with Lipschitz pseudomonotone mapping and a common fixed-point problem of a family of nonexpansive mappings.
L. Ceng, A. Petruşel, X. Qin, J. C. Yao
semanticscholar   +1 more source

Adaptive modified inertial projection and contraction methods for pseudomonotone variational inequalities

Journal of Applied and Numerical Optimization, 2022
. To handle pseudomonotone variational inequality problems in real Hilbert spaces, four modified inertial projection and contraction algorithms with non-monotonic step sizes are suggested in this paper.
Bing Tan, X. Qin
semanticscholar   +1 more source

On pseudomonotone set-valued mappings in topological vector space [PDF]

ANZIAM Journal, 2008
AbstractIn this paper we extend results of Inoan and Kolumban on pseudomonotone set-valued mappings to topological vector spaces. An application is made to a variational inequality problem.
openaire   +2 more sources

Shrinking Extragradient Method for Pseudomonotone Equilibrium Problems and Quasi-Nonexpansive Mappings [PDF]

Symmetry, 2019
This paper presents two shrinking extragradient algorithms that can both find the solution sets of equilibrium problems for pseudomonotone bifunctions and find the sets of fixed points of quasi-nonexpansive mappings in a real Hilbert space. Under some constraint qualifications of the scalar sequences, these two new algorithms show strong convergence ...
Manatchanok Khonchaliew, Ali Farajzadeh, Narin Petrot   +2 more
openaire   +2 more sources

Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in Banach spaces

Filomat, 2022
In this paper, we propose a new hybrid subgradient algorithm for finding a common point in the set of solutions of pseudomonotone equilibrium problem and the set of fixed points of relatively nonexpansive mapping in a real uniformly convex and ...
M. Harbau, B. Ali
semanticscholar   +1 more source

Strong convergence inertial projection and contraction method with self adaptive stepsize for pseudomonotone variational inequalities and fixed point problems

Journal of Inequalities and Applications, 2020
In this paper, we introduce a new inertial self-adaptive projection method for finding a common element in the set of solution of pseudomonotone variational inequality problem and set of fixed point of a pseudocontractive mapping in real Hilbert spaces ...
Lateef Olakunle Jolaoso, Maggie Aphane
doaj   +1 more source

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
doaj   +1 more source