A New Halpern-Type Bregman Projection Method for Solving Variational Inequality Problems in Reflexive Banach Space

被引：0
作者：
Yan Tang
Yeyu Zhang
机构：
[1] Chongqing Technology and Business University,Chongqing Key Laboratory of Social Economy and Applied Statistics College of Mathematics and Statistics
来源：
Results in Mathematics | 2023年 / 78卷
关键词：
Variational inequality problems; monotone operators; self-adaptive step size; Bregman distance;
D O I：
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摘要：
This paper proposes a new Halpern-type inertial subgradient extragradient method with Bregman distance for solving variational inequality problems in a real reflexive Banach space. The proposed algorithm is determined by a self-adaptive technology, which avoids the difficulty of adequately estimating the Lipschitz constant of monotone operators in practical applications. Weak and strong convergence theorems for our algorithm are established, and several numerical experiments are discussed to verify the validity and adaptability.
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[1]  
Dafermos S(1984)A network formulation of market equilibrium problems and variational inequalities Oper. Res. Lett. 3 247-250
[2]  
Nagurney A(2018)Convergence analysis of common solution of certain nonlinear problems Fixed Point Theory 19 335-358
[3]  
Ogbuisi FU(1984)A network formulation of market equilibrium problems and variational inequalities Oper. Res. Lett. 3 247-50
[4]  
Mewomo OT(2018)A unified algorithm for solving split generalized mixed equilibrium problem and fixed point of nonspreading mapping in Hilbert space Demonstr. Math. 51 211-232
[5]  
Nagurney A(1976)The extragradient method for finding saddle points and other problems Ekon. Mater. Metody. 12 747-756
[6]  
Jolaoso LO(2018)A new Bregman projection method for solving variational inequalities in Hilbert spaces Pure Appl. Funct. Anal. 3 403-415
[7]  
Oyewole KO(2021)The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces Optimization 71 4051-81
[8]  
Okeke CC(2017)Parallel and cyclic hybrid subgradient extragradient methods for variational inequalities Afr. Mat. 28 677-692
[9]  
Korpelevich GM(2011)The subgradient extragradient method for solving variational inequalities in Hilbert space J. Optim. Theory Appl. 148 318-335
[10]  
Gibali A(2018)Inertial projection and contraction algorithms for variational inequalities J. Glob. Optim. 70 687-704
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