Hybrid shrinking iterative solutions to convex feasibility problems for countable families of relatively nonexpansive mappings and a system of generalized mixed equilibrium problems

DOI10.1186/1687-1812-2014-148zbMath1326.47080OpenAlexW2150344467WikidataQ59323494 ScholiaQ59323494MaRDI QIDQ2264139

Shanguang Qian, Wei-Qi Deng

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-148

zbMATH Keywords

generalized mixed equilibrium problemsrelatively nonexpansive mappingsconvex feasibility problemshybrid iteration scheme

Mathematics Subject Classification ID

Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Monotone CQ iteration processes for nonexpansive semigroups and maximal monotone operators
• Generalized mixed equilibrium problem in Banach spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• An example concerning fixed points
• Projection and proximal point methods: Convergence results and counterexamples.
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Forcing strong convergence of proximal point iterations in a Hilbert space
• An implicit iteration process for common fixed points of two infinite families of asymptotically nonexpansive mappings in Banach spaces
• Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces
• Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
• Strong convergence of the CQ method for fixed point iteration processes
• A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space
• 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
• Mean Value Methods in Iteration