An iterative shrinking projection method for solving fixed point problems of closed and \(\phi\)-quasi-strict pseudocontractions along with generalized mixed equilibrium problems in Banach spaces

DOI10.1155/2012/536283zbMath1323.47079OpenAlexW2085562038WikidataQ58695454 ScholiaQ58695454MaRDI QIDQ448727

Kasamsuk Ungchittrakool

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/536283

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

New algorithms for solving system of generalized mixed equilibrium problems and some nonlinear problems, with applications, An iterative shrinking metric \(f\)-projection method for finding a common fixed point of a closed and quasi-strict \(f\)-pseudocontraction and a countable family of firmly nonexpansive mappings and applications in Hilbert spaces

Cites Work

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• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
• Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
• An iterative method of fixed points for closed and quasi-strict pseudo-contractions in Banach spaces
• Generalized mixed equilibrium problem in Banach spaces
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Projection and proximal point methods: Convergence results and counterexamples.
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert 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
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• 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