Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces

DOI10.1007/s11784-016-0337-5zbMath1497.47076OpenAlexW2538045951MaRDI QIDQ1687164

Dezhou Kong, Li Shan Liu, Yong-Hong Wu

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0337-5

zbMATH Keywords

Banach spacesvariational inequalitygeneralized metric projection operatorisotone projection

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10) Functional inequalities, including subadditivity, convexity, etc. (39B62) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Topological lattices (06B30)

Related Items (7)

A linearly convergent algorithm for sparse signal reconstruction ⋮ Weak-star dentability, quasi-weak-star near dentability and continuity of metric projector in Banach spaces ⋮ Isotonicity of the metric projection by Lorentz cone and variational inequalities ⋮ Isotonicity of the metric projection and complementarity problems in Hilbert spaces ⋮ A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure ⋮ Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces ⋮ Characterization of the Cone and Applications in Banach Spaces

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