Existence theorem and algorithm for a general implicit variational inequality in Banach space
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Publication:732402
DOI10.1016/j.amc.2009.05.052zbMath1178.65076OpenAlexW2080969243MaRDI QIDQ732402
Liu Liu, Qing-Bang Zhang, Ru-Liang Deng
Publication date: 9 October 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.052
algorithmconvergenceexistenceiterative methodBanach spacegeneralized \(f\)-projection operatorgeneral implicit variational inequality
Variational inequalities (49J40) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- A generalization of Tychonoff's fixed point theorem
- Existence theorems for variational inequalities in Banach spaces
- Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces
- The generalized projection operator on reflexive Banach spaces and its applications
- On the general variational inequality
- Properties of the generalized \(f\)-projection operator and its applications in Banach spaces
- A Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spaces
- On the projection methods for fixed point problems
- Inequalities in Banach spaces with applications
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- The generalised f-projection operator with an application
- Generalized Projection Operators in Banach Spaces: Properties and Applications