Convergence theorems for a generalized \(\phi\)-pseudo-contractive type mapping in real normal linear spaces

DOI10.1186/1687-1812-2013-311zbMath1476.47095OpenAlexW2129945960WikidataQ59301958 ScholiaQ59301958MaRDI QIDQ401801

Li-Wei Liu, Chao Wang

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-311

zbMATH Keywords

convergence theoremsgeneralized \(\phi\)-accretive type mappingsgeneralized \(\phi\)-pseudo-contractive type mappingsreal normal linear spaces

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Cites Work

• Unnamed Item
• On the convergence of multistep iteration for uniformly continuous \(\Phi\)-hemicontractive mappings
• Convergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappings
• Iterative methods for pseudomonotone variational inequalities and fixed-point problems
• Coupling Ishikawa algorithms with hybrid techniques for pseudocontractive mappings
• Convergence of the steepest descent method for accretive operators
• Approximation methods for nonlinear operator equations
• Strong Convergence of New Iteration Process for a Strongly Continuous Semigroup of Asymptotically Pseudocontractive Mappings
• The Mann process for perturbed \(m\)-accretive operators in Banach spaces

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