On the representations of the metric projection to one-dimensional subspaces of Banach spaces

DOI10.1016/j.na.2009.01.208zbMath1176.41033OpenAlexW1972696064MaRDI QIDQ923989

Wenshan Yang, Linsen Xie, Li, Jinlu

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.208

zbMATH Keywords

the metric projection operatorthe representation of the metric projection operatorvariational inequalities in Banach spaces

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Approximation by arbitrary linear expressions (41A45)

Related Items

Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces ⋮ Characterization of the Cone and Applications in Banach Spaces

Cites Work

• Convergence theorems for common fixed points for finite families of nonexpansive mappings in reflexive Banach spaces
• A nonconvex set which has the unique nearest point property
• The generalized projection operator on reflexive Banach spaces and its applications
• The generalized decomposition theorem in Banach spaces and its applications
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