The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces
Copyright policy )The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces
We introduce the general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups which is a unique solution of some variational inequalities. We prove the strong convergence theorems of such iterative scheme in a reflexive Banach space which admits a weakly continuous duality mapping. The main result extends various results existing in the current literature.
- Naresuan University Thailand
Economics, reflexive Banach space, weakly continuous duality mapping, Semigroups of nonlinear operators, Fixed-Point Problems, Mathematical analysis, Interior-Point Methods, Iterative procedures involving nonlinear operators, iterative method, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Iterative Algorithms, Economic growth, Scheme (mathematics), Variational inequality, Numerical Analysis, Banach space, Numerical Optimization Techniques, asymptotically nonexpansive semigroup, Mathematical optimization, Pure mathematics, common fixed point, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Discrete mathematics, Computational Contact Mechanics and Variational Inequalities, Applied mathematics, Iterative method, strong convergence, Computational Theory and Mathematics, Variational and other types of inequalities involving nonlinear operators (general), Duality (order theory), Computer Science, Physical Sciences, Convergence (economics), Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., variational inequalities, Mathematics, Mixed-Integer Nonlinear Programs
Economics, reflexive Banach space, weakly continuous duality mapping, Semigroups of nonlinear operators, Fixed-Point Problems, Mathematical analysis, Interior-Point Methods, Iterative procedures involving nonlinear operators, iterative method, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Iterative Algorithms, Economic growth, Scheme (mathematics), Variational inequality, Numerical Analysis, Banach space, Numerical Optimization Techniques, asymptotically nonexpansive semigroup, Mathematical optimization, Pure mathematics, common fixed point, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Discrete mathematics, Computational Contact Mechanics and Variational Inequalities, Applied mathematics, Iterative method, strong convergence, Computational Theory and Mathematics, Variational and other types of inequalities involving nonlinear operators (general), Duality (order theory), Computer Science, Physical Sciences, Convergence (economics), Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., variational inequalities, Mathematics, Mixed-Integer Nonlinear Programs
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