Author:
Ceng Lu-Chuan,Ghosh Debdas,Shehu Yekini,Yao Jen-Chih
Abstract
AbstractThis paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve abilevel split pseudomonotone variational inequality problem(BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive mappings. The problem under consideration is in real Hilbert spaces, where the BSPVIP involves a fixed point problem of demimetric mapping. The proposed rule exploits the strong monotonicity of one operator at the upper level and the pseudomonotonicity of another mapping at the lower level. The strong convergence result for the proposed algorithm is established under some suitable assumptions. In addition, a numerical example is given to demonstrate the viability of the proposed rule. Our results improve and extend some recent developments to a great extent.
Funder
2020 Shanghai Leading Talents Program of the Shanghai, Municipal Human Resources and Social Security Bureau
the Innovation Program of Shanghai Municipal Education Commission
the Program for Outstanding Academic Leaders in Shanghai City
grant MOST
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献