Hybrid algorithm of fixed point for weak relatively nonexpansive multivalued mappings and applications

DOI10.1155/2012/479438zbMath1256.47059OpenAlexW2117330732WikidataQ58695292 ScholiaQ58695292MaRDI QIDQ1938210

Qingqing Cheng, Yongfu Su, Jingling Zhang

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/479438

zbMATH Keywords

strong convergencemaximal monotone operatormonotone hybrid iteration algorithmmultivalued resolventweak relatively nonexpansive multi-valued mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04)

Related Items

New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space

Cites Work

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• Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
• Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• On the Maximality of Sums of Nonlinear Monotone Operators

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