A Mixed Mann Iteration Process for Fixed Points of Mixed Increasing Operators in Ordered Banach Spaces

DOI10.1080/01630560701228610zbMath1115.47052OpenAlexW2005584378MaRDI QIDQ3432713

Ya-Ping Fang, Nan-Jing Huang, Jong Kyu Kim

Publication date: 18 April 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560701228610

zbMATH Keywords

fixed pointsordered Banach spacesmixed increasing operatorsmixed Mann iteration process

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

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• A nonlinear nonlocal multi-dimensional conservation law
• Fixed point for multivalued increasing operators
• Coupled fixed points of nonlinear operators with applications
• Fixed points of increasing operators in ordered Banach spaces and applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Fixed points of mixed monotone operators with applications
• Existence and uniqueness of positive fixed points for mixed monotone operators and applications

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