Mann-type hybrid steepest-descent method for three nonlinear problems
DOI10.1186/s13660-015-0807-0zbMath1333.49011OpenAlexW1829212383WikidataQ59428990 ScholiaQ59428990MaRDI QIDQ262485
Abdul Latif, Abdulaziz S. M. Alofi, Jen-Chih Yao, Abdullah Eqal Al-Mazrooei
Publication date: 29 March 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-015-0807-0
nonexpansive mappinginverse-strongly monotone mappinggeneral mixed equilibriumgeneral system of variational inequalitiesMann-type hybrid steepest-descent methodstrict pseudocontraction
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical methods based on necessary conditions (49M05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On general systems of variational inequalities
- Multi-step hybrid viscosity method for systems of variational inequalities defined over sets of solutions of an equilibrium problem and fixed point problems
- Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points
- Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems
- Convergence of hybrid steepest-descent methods for variational inequalities
- Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method
- Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem
- System of vector equilibrium problems and its applications
- Viscosity approximation methods for fixed-points problems
- Towards viscosity approximations of hierarchical fixed-point problems
- Systems of generalized variational inequalities and their applications∗
- A fixed point theorem and its applications to a system of variational inequalities