Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems
Copyright policy )Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems
We introduce hybrid‐iterative schemes for solving a system of the zero‐finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and uniformly convex Banach space, strong convergence theorems by using a shrinking projection method. We finally apply the obtained results to a system of convex minimization problems.
- Centre of Excellence in Mathematics Thailand
- University of Phayao Thailand
- Chiang Mai University Thailand
Convex Optimization, Dykstra's projection algorithm, Economics, Geometry, Fixed-Point Problems, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Iterative procedures involving nonlinear operators, Computer security, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Projection method, Monotone operators and generalizations, Weak convergence, Economic growth, shrinking projection method, Variational inequality, Numerical Analysis, Banach space, Numerical Optimization Techniques, Equilibrium Problems, Projection (relational algebra), Mathematical optimization, Pure mathematics, Convergence Theorems, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computer science, strong convergence, Regular polygon, Algorithm, Computational Theory and Mathematics, Strongly monotone, Computer Science, Physical Sciences, Convergence (economics), Monotone polygon, Geometry and Topology, Mathematics, Asset (computer security)
Convex Optimization, Dykstra's projection algorithm, Economics, Geometry, Fixed-Point Problems, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Iterative procedures involving nonlinear operators, Computer security, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Projection method, Monotone operators and generalizations, Weak convergence, Economic growth, shrinking projection method, Variational inequality, Numerical Analysis, Banach space, Numerical Optimization Techniques, Equilibrium Problems, Projection (relational algebra), Mathematical optimization, Pure mathematics, Convergence Theorems, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computer science, strong convergence, Regular polygon, Algorithm, Computational Theory and Mathematics, Strongly monotone, Computer Science, Physical Sciences, Convergence (economics), Monotone polygon, Geometry and Topology, Mathematics, Asset (computer security)
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