Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping

DOI10.1186/1687-1812-2014-47zbMath1332.47029OpenAlexW2095608854WikidataQ59396406 ScholiaQ59396406MaRDI QIDQ2017369

Tomonari Suzuki

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/10.1186/1687-1812-2014-47

zbMATH Keywords

fixed pointconvergence theoremnonspreading mappingChatterjea mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Spherical nonspreadingness of resolvents of convex functions in geodesic spaces ⋮ Resolvents of convex functions in complete geodesic metric spaces with negative curvature ⋮ Unnamed Item ⋮ Fixed point theorems for new nonlinear mappings satisfying condition (CC*) ⋮ ON STRONG CONVERGENCE OF HALPERN’S METHOD FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES

Cites Work

• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
• The solution by iteration of nonlinear functional equations in Banach spaces
• On the structure of the set of subsequential limit points of successive approximations
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
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