An extragradient method for mixed equilibrium problems and fixed point problems
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Publication:1035118
DOI10.1155/2009/632819zbMath1203.47086OpenAlexW2072894892WikidataQ59248476 ScholiaQ59248476MaRDI QIDQ1035118
Yonghong Yao, Yuh-Jenn Wu, Yeong-Cheng Liou
Publication date: 10 November 2009
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/45697
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Existence theories for optimal control problems involving partial differential equations (49J20)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Regularized equilibrium problems with application to noncoercive hemivariational inequalities.
- Combined relaxation method for mixed equilibrium problems
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Regularized and inertial algorithms for common fixed points of nonlinear operators
- Mixed equilibrium problems and optimization problems
- Equilibrium programming using proximal-like algorithms
- Equilibrium problems with applications to eigenvalue problems
- Descent methods for equilibrium problems in a Banach space
- An iterative algorithm for approximating convex minimization problem
- Generalized KKM theorem with applications to generalized minimax inequalities and generalized equilibrium problems
- An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings
- Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
- Strong convergence theorems for strictly pseudocontractive mappings of Browder--Petryshyn type
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
- On iterative methods for equilibrium problems
- WEAK AND STRONG CONVERGENCE THEOREMS FOR AN ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTION AND A MIXED EQUILIBRIUM PROBLEM
- KRASNOSELSKI–MANN ITERATION FOR HIERARCHICAL FIXED POINTS AND EQUILIBRIUM PROBLEM
- Fundamentals of equilibrium problems
- Generalized Monotone Equilibrium Problems and Variational Inequalities
- Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems
- A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
