On an open question of Takahashi for nonexpansive mappings and inverse strongly monotone mappings

DOI10.1007/s10957-010-9705-2zbMath1205.49015OpenAlexW2126842239MaRDI QIDQ607884

Muhammad Aslam Noor, Zhen Yu Huang, Eisa A. Al-Said

Publication date: 6 December 2010

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-010-9705-2

zbMATH Keywords

variational inequalitiesHilbert spacesiteration methodnonexpansive mappingscommon elements\(\alpha \)-inverse strongly monotone

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25)

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Cites Work

• Implicit iterative methods for nonconvex variational Inequalities
• A new iterative method for variational inequalities
• Extended general variational inequalities
• Projection methods for monotone variational inequalities
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Some developments in general variational inequalities
• Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
• Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
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