Zeros and mapping theorems for perturbations of \(m\)-accretive operators in Banach spaces

DOI10.1016/j.camwa.2005.01.012zbMath1092.47051OpenAlexW1980595570MaRDI QIDQ2485427

Yeol Je Cho, Ravi P. Agarwal, Kang, Shin Min, Hai-Yun Zhou

Publication date: 4 August 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.01.012

zbMATH Keywords

perturbationLeray-Schauder degree theorymapping theorem\(M\)-accretive operatorzero theorem

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Perturbations of nonlinear operators (47H14)

Related Items (6)

Strong convergence of iterative schemes for zeros of accretive operators in reflexive Banach spaces ⋮ Strong convergence of a proximal-type algorithm for an occasionally pseudomonotone operator in Banach spaces ⋮ A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space ⋮ On Mann implicit iterations for strongly accretive and strongly pseudo-contractive mappings ⋮ Convergence of an iterative algorithm for common solutions for zeros of maximal accretive operator with applications ⋮ Convergence of iterative sequences for common zero points of a family of \(m\)-accretive mappings in Banach spaces

Cites Work

• Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces
• New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces
• On the perturbation theory of $m$-accretive operators in Banach spaces
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
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