Perturbed algorithms for solving nonlinear relaxed cocoercive operator equations with general \(A\)-monotone operators in Banach spaces

DOI10.1016/j.cnsns.2011.01.024zbMath1222.65053OpenAlexW2036405720MaRDI QIDQ634212

Le-Cai Cai, Heng-you Lan, Yun-zhi Zou

Publication date: 2 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.01.024

zbMATH Keywords

convergence and stability\(A\)-monotone operatornonlinear relaxed coercive operator equationperturbated iterative algorithm

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Graph-convergent analysis of over-relaxed \((A, \eta, m)\)-proximal point iterative methods with errors for general nonlinear operator equations ⋮ Convergence analysis of new over-relaxed proximal point algorithm frameworks with errors and applications to general \( A\)-monotone nonlinear inclusion forms ⋮ A Nonlinearly Preconditioned Forward-Backward Splitting Method and Applications ⋮ New approximation-solvability of general nonlinear operator inclusion couples involving \((A, \eta , m)\)-resolvent operators and relaxed cocoercive type operators

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