Monotonicity and Circular Cone Monotonicity Associated with Circular Cones-Reference-Cited by-同舟云学术

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Monotonicity and Circular Cone Monotonicity Associated with Circular Cones

Published:2016-05-14 Issue:2 Volume:25 Page:211-232
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Zhou Jinchuan,Chen Jein-Shan

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Ministry of Science and Technology, Taiwan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s11228-016-0374-7.pdf

Reference33 articles.

1. Alizadeh, F., Goldfarb, D.: Second-order cone programming. Math. Program. 95, 3–51 (2003)

2. Bonnans, J.F., Ramirez, H.: Perturbation analysis of second-order cone programming problems. Math. Program. 104, 205–227 (2005)

3. Chen, J.-S., Tseng, P.: An unconstrained smooth minimization reformulation of the second-order cone complementarity problem. Math. Program. 104, 293–327 (2005)

4. Chang, Y.-L., Yang, C.-Y., Chen, J.-S.: Smooth and nonsmooth analysis of vector-valued functions associated with circular cones. Nonlinear Anal. Theory Methods Appl. 85, 160–173 (2013)

5. Chen, J.-S.: The convex and monotone functions associated with second-order cone. Optimization 55(4), 363–385 (2006)

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1. Augmented Lagrangian method for nonlinear circular conic programs: a local convergence analysis;Optimization;2024-06-25

2. No Gap Second-Order Optimality Conditions for Circular Conic Programs;Numerical Functional Analysis and Optimization;2019-04-23

3. Parabolic Second-Order Directional Differentiability in the Hadamard Sense of the Vector-Valued Functions Associated with Circular Cones;Journal of Optimization Theory and Applications;2017-02-07

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