Iterative approximation for a zero of accretive operator and fixed points problems in Banach space
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Publication:621010
DOI10.1016/j.amc.2010.11.014zbMath1213.65079OpenAlexW2025734210MaRDI QIDQ621010
Zhen He, Xin-Feng He, Yongchun Xu
Publication date: 2 February 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.014
contractionfixed pointvariational inequalityBanach space\(m\)-accretive operatorzeroweakly continuous duality map
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Iterative approximation of zeros of accretive operators and of solutions to fixed point problems in \(q\)-uniformly smooth Banach spaces ⋮ On solutions of inclusion problems and fixed point problems ⋮ Some results on an infinite family of accretive operators in a reflexive Banach space ⋮ Viscosity iteration algorithms for nonlinear variational inclusions and fixed point problems in Banach spaces ⋮ Viscosity approximation methods for zeros of accretive operators and fixed point problems in Banach spaces
Cites Work
- Iterative approximation of a zero of accretive operator in Banach space
- Strong convergence of composite iterative schemes for zeros of \(m\)-accretive operators in Banach spaces
- A new iterative algorithm for common solutions of a finite family of accretive operators
- Strong convergence theorems for a common zero of a countably infinite family of \(\alpha \)-inverse strongly accretive mappings
- Convergence of composite iterative methods for finding zeros of accretive operators
- Some theorems on weakly contractive maps.
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Strong convergence of an iterative method for nonexpansive and accretive operators
- Iterative Algorithms for Nonlinear Operators
- Almost convergence of the infinite product of resolvents in Banach spaces
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