Strong convergence of an implicit iteration process for a finite family of uniformly \(L\)-Lipschitzian mappings in Banach spaces

DOI10.1155/2010/801961zbMath1187.47047OpenAlexW2029548170WikidataQ59251749 ScholiaQ59251749MaRDI QIDQ962527

Feng Gu

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231257

zbMATH Keywords

strong convergenceuniformly \(L\)-Lipschitzian mappings

Mathematics Subject Classification ID

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

Related Items (2)

A New Three-Step Mixed-Type Implicit Iterative Scheme with Errors for Common Fixed Points of Nonexpansive and Uniformly $L$--Lipschitzian Asymptotically Generalized $\Phi$-Hemicontractive Mappings ⋮ Unnamed Item

Cites Work

• Iterative construction of fixed points of asymptotically nonexpansive mappings
• The new composite implicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings
• Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
• Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
• A characterization of strict convexity of Banach spaces and other uses of duality mappings
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• APPROXIMATING COMMON FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
• Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
• CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Iterative solution of nonlinear equations involving set-valued uniformly accretive operators.
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