Computational analysis of variational inequalities using mean extra-gradient approach.

T Cai, D Yu, H Liu, F Gao - Mathematics (2227-7390), 2022 - search.ebscohost.com
An improved variational inequality strategy for dealing with variational inequality in a Hilbert
space is proposed in this article as an alternative; if Hilbert space is used as the domain of …

[PDF][PDF] A proximal algorithm for solving split monotone variational inclusions

X Zhao, JC Yao, Y Yao - UPB Sci. Bull. Ser. A, 2020 - scientificbulletin.upb.ro
A PROXIMAL ALGORITHM FOR SOLVING SPLIT MONOTONE VARIATIONAL INCLUSIONS
MSC2010: 47H10, 49J40, 54H25. 1. Introduction Let H1 and Page 1 UPB Sci. Bull., Series A …

[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 …

[PDF][PDF] Modified subgradient extragradient algorithms for systems of generalized equilibria with constraints

LC Ceng, LJ Zhu, TC Yin - AIMS Math, 2023 - aimspress.com
In this paper, we introduce the modified Mann-like subgradient-like extragradient implicit
rules with linear-search process for finding a common solution of a system of generalized …

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 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 …

[PDF][PDF] Fixed point results and (α, β)-triangular admissibility in the frame of complete extended b-metric spaces and application

T Qawasmeh, W Shatanawi, A Bataihah… - UPB Scientific Bulletin …, 2021 - researchgate.net
We establish the notion of τ-generalized contraction for a pair of mappings S1 and S2 over a
set Z, where τ: Z2→[1,+∞) is a function. We appoint our new notion to formulate and prove …

[PDF][PDF] New contractions and some fixed point results with application based on extended quasi b-metric space

W Shatanawi, T Qawasmeh… - … Bulletin, Series A …, 2021 - scientificbulletin.upb.ro
The conceptions of metric spaces and extended b-metric spaces play a major role in proving
many theorems of existence solution of such equations as integral or differential equations …

Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces

Z Xie, G Cai, QL Dong - Numerical Algorithms, 2023 - Springer
This paper aims to introduce a new projection method for solving pseudomonotone
variational inequality problems in real reflexive Banach spaces. The main algorithm is based …