Systems of Variational Inequalities with Nonlinear Operators

Mathematics

Lu-Chuan Ceng¹  Qing Yuan² 

[1] Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;School of Mathematics and Statistics, Linyi University, Linyi 276000, China;

关键词: implicit iterations;    variational inequalities;    lipschitzian pseudocontractions;    asymptotically nonexpansive mapping;    fixed-point;    banach space;   

DOI  :  10.3390/math7040338

来源: DOAJ

【 摘 要 】

In this work, we concern ourselves with the problem of solving a general system of variational inequalities whose solutions also solve a common fixed-point problem of a family of countably many nonlinear operators via a hybrid viscosity implicit iteration method in 2 uniformly smooth and uniformly convex Banach spaces. An application to common fixed-point problems of asymptotically nonexpansive and pseudocontractive mappings and variational inequality problems for strict pseudocontractive mappings is also given in Banach spaces.

【 授权许可】

Unknown