[PDF][PDF] Iterative approximation of fixed point problems and variational inequality problems on Hadamard manifolds

HM He, JG Peng, HY Li - UPB Bull. Ser. A, 2022 - scientificbulletin.upb.ro
In this paper, we propose a new iterative algorithm for finding the common solution of the
fixed points of nonexpansive mapping and the solution of the pseudomonotone variational …

Single Bregman projection method for solving variational inequalities in reflexive Banach spaces

LO Jolaoso, Y Shehu - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we introduce a single projection method with the Bregman distance technique
for solving pseudomonotone variational inequalities in a real reflexive Banach space. The …

A new shrinking projection algorithm for a generalized mixed variational-like inequality problem and asymptotically quasi--nonexpansive mapping in a Banach space

M Farid, W Cholamjiak, R Ali, KR Kazmi - Revista de la Real Academia de …, 2021 - Springer
We propose and analyze a new inertial type iterative algorithm for finding a common
solution of generalized mixed variational-like inequality problem, variational inequality …

A novel inertial Tseng's method for solving generalized variational inequality problem

R Chugh, R Kumar, C Batra - Journal of Applied Mathematics and …, 2023 - Springer
In this paper, we introduce a new mapping called h-pseudomonotone mapping, which is a
generalization of various monotone mappings in the literature. We also propose a new …

[PDF][PDF] On Mann-type accelerated projection methods for pseudomonotone variational inequalities and common fixed points in Banach spaces

LC Ceng, YC Liou, TC Yin - AIMS Math, 2023 - aimspress.com
In this paper, we investigate two Mann-type accelerated projection procedures with line
search method for solving the pseudomonotone variational inequality (VIP) and the common …

A ForwardBackwardForward Algorithm for Solving Quasimonotone Variational Inequalities

TC Yin, N Hussain - Journal of Function Spaces, 2022 - Wiley Online Library
In this paper, we continue to investigate the convergence analysis of Tsengtype forward
backwardforward algorithms for solving quasimonotone variational inequalities in Hilbert …

Iteration process for fixed point problems and zeros of maximal monotone operators

A Nandal, R Chugh, M Postolache - Symmetry, 2019 - mdpi.com
We introduce an iterative algorithm which converges strongly to a common element of fixed
point sets of nonexpansive mappings and sets of zeros of maximal monotone mappings. Our …

A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings

S Khatoon, W Cholamjiak, I Uddin - Journal of Inequalities and …, 2021 - Springer
In this paper, we propose a modified proximal point algorithm based on the Thakur iteration
process to approximate the common element of the set of solutions of convex minimization …

Solvability and algorithms of generalized nonlinear variational-like inequalities in reflexive Banach spaces

H Gao, L Wang, L Zhao - Journal of Inequalities and Applications, 2020 - Springer
This paper deals with solvability and algorithms for a new class of generalized nonlinear
variational-like inequalities in reflexive Banach spaces. By employing the Banach's fixed …

Weak and strong convergence of a modified double inertial projection algorithm for solving variational inequality problems

H Zhang, X Liu - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
We propose a new double inertial projection algorithm by combining the subgradient
extragradient algorithm with the projection contraction algorithm. On one hand, our algorithm …