A weak convergence theorem for common fixed points of some generalized nonexpansive mappings and nonspreading mappings in a Hilbert space

DOI10.1080/02331934.2010.533176zbMath1223.49011OpenAlexW2145563895MaRDI QIDQ3093098

Sompong Dhompongsa, Takahashi, Wataru, Warunun Inthakon

Publication date: 12 October 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2010.533176

zbMATH Keywords

nonexpansive mappingcommon fixed pointnonspreading mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45)

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Cites Work

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• Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Strong convergence theorems for finitely many nonexpansive mappings and applications
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Edelstein's method and fixed point theorems for some generalized nonexpansive mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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