Systems of Variational Inequalities with Nonlinear Operators
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 c...
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doaj-c2aff2de3ad34bdfaba3dc5a642e3ac62020-11-25T01:56:26ZengMDPI AGMathematics2227-73902019-04-017433810.3390/math7040338math7040338Systems of Variational Inequalities with Nonlinear OperatorsLu-Chuan Ceng0Qing Yuan1Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaSchool of Mathematics and Statistics, Linyi University, Linyi 276000, ChinaIn 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.https://www.mdpi.com/2227-7390/7/4/338implicit iterationsvariational inequalitieslipschitzian pseudocontractionsasymptotically nonexpansive mappingfixed-pointbanach space |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lu-Chuan Ceng Qing Yuan |
spellingShingle |
Lu-Chuan Ceng Qing Yuan Systems of Variational Inequalities with Nonlinear Operators Mathematics implicit iterations variational inequalities lipschitzian pseudocontractions asymptotically nonexpansive mapping fixed-point banach space |
author_facet |
Lu-Chuan Ceng Qing Yuan |
author_sort |
Lu-Chuan Ceng |
title |
Systems of Variational Inequalities with Nonlinear Operators |
title_short |
Systems of Variational Inequalities with Nonlinear Operators |
title_full |
Systems of Variational Inequalities with Nonlinear Operators |
title_fullStr |
Systems of Variational Inequalities with Nonlinear Operators |
title_full_unstemmed |
Systems of Variational Inequalities with Nonlinear Operators |
title_sort |
systems of variational inequalities with nonlinear operators |
publisher |
MDPI AG |
series |
Mathematics |
issn |
2227-7390 |
publishDate |
2019-04-01 |
description |
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. |
topic |
implicit iterations variational inequalities lipschitzian pseudocontractions asymptotically nonexpansive mapping fixed-point banach space |
url |
https://www.mdpi.com/2227-7390/7/4/338 |
work_keys_str_mv |
AT luchuanceng systemsofvariationalinequalitieswithnonlinearoperators AT qingyuan systemsofvariationalinequalitieswithnonlinearoperators |
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1724980259223240704 |