Combination of the hybrid steepest-descent method and the viscosity approximation
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Publication:2251576
DOI10.1007/s10957-013-0397-2zbMath1311.90177OpenAlexW2068141341MaRDI QIDQ2251576
Publication date: 14 July 2014
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-013-0397-2
nonexpansive mappingconvex functionBanach spacehybrid steepest-descent methodviscosity approximation\(q\)-uniformly smoothfixed-point set
Nonlinear programming (90C30) Approximation methods and heuristics in mathematical programming (90C59) Programming in abstract spaces (90C48)
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Cites Work
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- Hybrid steepest-descent method with sequential and functional errors in Banach space
- Some iterative methods for finding fixed points and for solving constrained convex minimization problems
- Convergence of hybrid steepest-descent methods for variational inequalities
- A general iterative algorithm for nonexpansive mappings in Banach spaces
- Convergence theorems of iterative algorithms for continuous pseudocontractive mappings
- Weak convergence of an iterative sequence for accretive operators in Banach spaces
- Strong convergence studied by a hybrid type method for monotone operators in a Banach space
- A general iterative algorithm for nonexpansive mappings in Hilbert spaces
- Product formulas, nonlinear semigroups, and accretive operators
- An iterative approach to quadratic optimization
- Zeros of accretive operators
- Viscosity approximation methods for nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Iterative Algorithms for Nonlinear Operators
- Inequalities in Banach spaces with applications
- Differential Equations on Closed Subsets of a Banach Space
- Finding the nearest point in A polytope
- Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
- Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces
- Fixed Point Theory for Lipschitzian-type Mappings with Applications