Non-convex hybrid algorithm for a family of countable quasi-Lipschitz mappings and application

DOI10.1186/s13663-015-0457-4zbMath1346.47041OpenAlexW2176880718WikidataQ59436308 ScholiaQ59436308MaRDI QIDQ288273

Yongchun Xu, Yanxia Tang, Jinyu Guan, Yongfu Su, Peng-Cheng Ma

Publication date: 25 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0457-4

zbMATH Keywords

strong convergencenonexpansive mappingHilbert spacesCauchy sequencehybrid algorithmclosed quasi-nonexpansivequasi-Lipschitz mappings

Mathematics Subject Classification ID

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

Related Items

Cloud hybrid methods for solving split equilibrium and fixed point problems for a family of countable quasi-Lipschitz mappings and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Three kinds of new hybrid projection methods for a finite family of quasi-asymptotically pseudocontractive mappings in Hilbert spaces
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Monotone CQ iteration processes for nonexpansive semigroups and maximal monotone operators
• An example concerning fixed points
• Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces
• Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Viscosity approximation methods for nonexpansive mappings
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Viscosity approximation methods for fixed-points problems
• A new hybrid algorithm for a nonexpansive mapping
• Strong convergence of the CQ method for fixed point iteration processes
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
• Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
• Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Fixed points of nonexpanding maps
• On the Maximality of Sums of Nonlinear Monotone Operators
• A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
• Mean Value Methods in Iteration

This page was built for publication: Non-convex hybrid algorithm for a family of countable quasi-Lipschitz mappings and application