Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

VA Uzor, TO Alakoya, OT Mewomo - Open Mathematics, 2022 - degruyter.com
In this paper, we study the problem of finding a common solution of the pseudomonotone
variational inequality problem and fixed point problem for demicontractive mappings. We …

Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space

LO Jolaoso, TO Alakoya, A Taiwo, OT Mewomo - Optimization, 2021 - Taylor & Francis
In this paper, we propose a new viscosity type inertial extragradient method with Armijo line-
search technique for approximating a common solution of equilibrium problem with pseudo …

Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems

DV Thong, DV Hieu - Numerical Algorithms, 2019 - Springer
In this paper, basing on the subgradient extragradient method and inertial method with line-
search process, we introduce two new algorithms for finding a common element of the …

Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems

PT Vuong, JJ Strodiot, VH Nguyen - Journal of Optimization Theory and …, 2012 - Springer
In this paper, we introduce some new iterative methods for finding a common element of the
set of points satisfying a Ky Fan inequality, and the set of fixed points of a contraction …

Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems

Y Yao, YJ Cho, YC Liou - European Journal of Operational Research, 2011 - Elsevier
In this paper, we present an iterative algorithm for finding a common element of the set of
solutions of a mixed equilibrium problem and the set of fixed points of an infinite family of …

A projected subgradient algorithm for bilevel equilibrium problems and applications

LQ Thuy, TN Hai - Journal of Optimization Theory and Applications, 2017 - Springer
In this paper, we propose a new algorithm for solving a bilevel equilibrium problem in a real
Hilbert space. In contrast to most other projection-type algorithms, which require to solve …

Strong convergence theorems for equilibrium problems and fixed point problems in Banach spaces

D Van Hieu, JJ Strodiot - Journal of Fixed Point Theory and Applications, 2018 - Springer
The paper proposes two new iterative methods for solving pseudomonotone equilibrium
problems involving fixed point problems for quasi-ϕ ϕ-nonexpansive mappings in Banach …

Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems

HM Linh, S Reich, DV Thong, VT Dung, NP Lan - Numerical Algorithms, 2022 - Springer
We study variational inequalities and fixed point problems in real Hilbert spaces. A new
algorithm is proposed for finding a common element of the solution set of a pseudo …

Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces

LO Jolaoso, Y Shehu, YJ Cho - Journal of Inequalities and Applications, 2021 - Springer
In this paper, using a Bregman distance technique, we introduce a new single projection
process for approximating a common element in the set of solutions of variational …

[PDF][PDF] A Krasnoselskii-type algorithm for approximating solutions of variational inequality problems and convex feasibility problems

CE Chidume, A Adamu, LC Okereke - Nonlinear Var. Anal, 2018 - academia.edu
In this paper, a Krasnoselskii-type algorithm for approximating a common element of the set
of solutions of a variational inequality problem for a monotone, k-Lipschitz map and …