The hybrid projection methods for pseudocontractive, nonexpansive semigroup, and monotone mapping
From MaRDI portal
Publication:1725045
DOI10.1155/2014/813701zbMath1473.47036OpenAlexW2061257551WikidataQ59041734 ScholiaQ59041734MaRDI QIDQ1725045
Phayap Katchang, Somyot Plubtieng
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/813701
strong convergenceHilbert spacenonexpansive semigrouppseudocontractive mappinghybrid projection methodsthree-step iterative schemes
Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Unnamed Item
- Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping
- A new explicit iterative algorithm for solving a class of variational inequalities over the common fixed points set of a finite family of nonexpansive mappings
- Modified Noor iterations for nonexpansive semigroups with generalized contraction in Banach spaces
- Proximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spaces
- Approximation for the hierarchical constrained variational inequalities over the fixed points of nonexpansive semigroups
- Strong convergence of viscosity approximation methods for the fixed-point of pseudo-contractive and monotone mappings
- Strong convergence theorems for fixed point problems of a nonexpansive semigroup in a Banach space
- An iterative method for solving a system of mixed equilibrium problems, system of quasivariational inclusions, and fixed point problems of nonexpansive semigroups with application to optimization problems
- Strong convergence of an iterative method for pseudo-contractive and monotone mappings
- Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces
- Semigroup of nonexpansive mappings on a Hilbert space
- An example concerning fixed points
- Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces
- New approximation schemes for general variational inequalities
- Relaxed iterative algorithms for generalized mixed equilibrium problems with constraints of variational inequalities and variational inclusions
- Hybrid extragradient method with regularization for convex minimization, generalized mixed equilibrium, variational inequality and fixed point problems
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- A viscosity hybrid steepest descent method for equilibrium problems, variational inequality problems, and fixed point problems of infinite family of strictly pseudocontractive mappings and nonexpansive semigroup
- Fixed point solutions of generalized mixed equilibrium problems and variational inclusion problems for nonexpansive semigroups
- Strong convergence theorems for a finite family of total asymptotically strict pseudocontractive semigroups in Banach spaces
- Modified Mann iterations for nonexpansive semigroups in Banach space
- Implicit and explicit iterative methods for systems of variational inequalities and zeros of accretive operators
- Hybrid extragradient methods for finding zeros of accretive operators and solving variational inequality and fixed point problems in Banach spaces
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Invariant means and fixed point properties of semigroup of nonexpansive mappings
- Fixed Points by a New Iteration Method
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration
- Three-step iterative algorithms for multivalued quasi variational inclusions
