An alternative approach for a distance inequality associated with the second-order cone and the circular cone

DOI10.1186/s13660-016-1243-5zbMath1353.49023OpenAlexW2550463706WikidataQ59468557 ScholiaQ59468557MaRDI QIDQ343565

Jein-Shan Chen, Xin-He Miao, Yen-chi Roger Lin

Publication date: 28 November 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1243-5

zbMATH Keywords

projectionmathematical programmingsecond-order conecircular conedistance inequality

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Uses Software

• SCCP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizations of solution sets of cone-constrained convex programming problems
• Analysis of nonsmooth vector-valued functions associated with second-order cones.
• A nonmonotone smoothing-type algorithm for solving a system of equalities and inequalities
• Numerical resolution of cone-constrained eigenvalue problems
• A simple characterization of solutions sets of convex programs
• On characterizing the solution sets of pseudolinear programs
• Circular cone convexity and some inequalities associated with circular cones
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• A Regularized Smoothing Newton Method for Symmetric Cone Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• A Combined Smoothing and Regularization Method for Monotone Second-Order Cone Complementarity Problems
• Constructions of complementarity functions and merit functions for circular cone complementarity problem