Weak and strong convergence theorems and a nonlinear ergodic theorem for N-generalized hybrid mappings

DOI10.1142/S1793557117500012zbMath1382.47011OpenAlexW2325224831MaRDI QIDQ2979760

Fridoun Moradlou, Sattar Alizadeh

Publication date: 26 April 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557117500012

zbMATH Keywords

strong convergenceweak convergencefixed pointHilbert spacesmean convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Cites Work

• Strong convergence theorems for 2-generalized hybrid mappings in Hilbert spaces
• Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
• Weak and strong convergence theorems for \(m\)-generalized hybrid mappings in Hilbert spaces
• Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• An example concerning fixed points
• The common fixed point theory of singlevalued mappings and multivalued mappings
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Fixed Points by a New Iteration Method
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• Fixed points of nonexpanding maps
• Mean Value Methods in Iteration
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