An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
Copyright policy )An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
AbstractThe purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose an extragradient method for solving the mixed equilibrium problems and the fixed point problems. Subsequently, we prove the strong convergence of the proposed algorithm under some mild assumptions.
- Tianjin Polytechnic University China (People's Republic of)
- Chung Yuan Christian University Taiwan
- Cheng Shiu University Taiwan
- Chung Yuan Christian University Taiwan
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Applied Mathematics, demicontractive mapping, common fixed point, Existence theories for optimal control problems involving partial differential equations, strong convergence, Fixed-point theorems, Iterative procedures involving nonlinear operators, Geometry and Topology, Analysis
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Applied Mathematics, demicontractive mapping, common fixed point, Existence theories for optimal control problems involving partial differential equations, strong convergence, Fixed-point theorems, Iterative procedures involving nonlinear operators, Geometry and Topology, Analysis
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