On some auxiliary mappings generated by nonexpansive and strictly pseudo-contractive mappings

DOI10.1016/j.amc.2011.11.073zbMath1273.47110OpenAlexW1995446970MaRDI QIDQ422853

Giuseppe Marino, Vittorio Colao, Luigi Muglia

Publication date: 18 May 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.073

zbMATH Keywords

fixed pointsstrong convergencenonexpansive mappingsstrictly pseudo-contractive mappingsauxiliary mappingsviscosity approximation methods

Mathematics Subject Classification ID

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

Related Items (4)

Strong convergence theorems for fixed point problems for strict pseudo-contractions and variational inequalities for inverse-strongly accretive mappings in uniformly smooth Banach spaces ⋮ On the Approximation of Zeros of Non-Self Monotone Operators ⋮ On the auxiliary mappings generated by a family of mappings and solutions of variational inequalities problems ⋮ Viscosity iterative algorithm for variational inequality problems and fixed point problems of strict pseudo-contractions in uniformly smooth Banach spaces

Cites Work

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• Strong convergence of a new iterative scheme for a finite family of strict pseudo-contractions
• Product formulas, nonlinear semigroups, and accretive operators
• Common fixed points of nonexpansive mappings by iteration
• An iterative approach to quadratic optimization
• Viscosity approximation methods for fixed-points problems
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type

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