STRONG CONVERGENCE OF SOME ALGORITHMS FOR λ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACE

DOI10.1017/S000497271100311XzbMath1236.47080MaRDI QIDQ5389487

Yonghong Yao, Yeong-Cheng Liou, Giuseppe Marino

Publication date: 20 April 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

On best proximity point theorems and fixed point theorems for \(p\)-cyclic hybrid self-mappings in Banach spaces ⋮ Strong convergence of some algorithms for \(\lambda \)-strict pseudo-contractions in Banach spaces ⋮ Computing the fixed points of strictly pseudocontractive mappings by the implicit and explicit iterations

Cites Work

• Three-step iterations for nonexpansive mappings and inverse-strongly monotone mappings
• Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
• Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Strong convergence theorems for finitely many nonexpansive mappings and applications
• A general iterative method for an infinite family of nonexpansive mappings
• Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings
• The common minimal-norm fixed point of a finite family of nonexpansive mappings
• Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings
• Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space
• Strong convergence of modified Mann iterations for a countable family of nonexpansive mappings
• Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces
• Iterative algorithms for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of families and semigroups of nonexpansive mappings
• Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces
• Perturbation techniques for nonexpansive mappings with applications
• On some algorithms in Banach spaces finding fixed points of nonlinear mappings
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Convergence of generalized proximal point algorithms
• Strong convergence of modified Mann iterations
• Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems
• The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Viscosity approximation methods for fixed-points problems
• Schemes for finding minimum-norm solutions of variational inequalities
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Construction of fixed points of nonlinear mappings in Hilbert space
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications
• Iterative Algorithms for Nonlinear Operators
• A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Another control condition in an iterative method for nonexpansive mappings

This page was built for publication: STRONG CONVERGENCE OF SOME ALGORITHMS FOR λ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACE