Second-Order Optimality Conditions in Set Optimization

By Johannes Jahn, A. A. Khan, P. Zeilinger. 2005

82 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/cddaa807bfa5001942b4117b65d93edb7dc69e5c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Shengjie Li
2. C. Chen

In Computational Theory and Mathematics

1. Shengjie Li
2. C. Chen

In Numerical Analysis

1. Shengjie Li
2. C. Chen

Citations in the corpus

• Higher-Order Optimality Conditions for Set-Valued Optimization (2008, unknown): “(17) Without loss of generality, suppose that G is locally Lipschitz at x0 and (y, z) ∈ D S FE(x0, y0, u1, v1, · · · , um−1, vm−1)(x) ×D D GE(x0, z0, u1, w1, · · · , um−1, wm−1)(x).”
• Higher order optimality conditions for Henig efficient solutions in set-valued optimization☆ (2006, methodology): “[8] introduced second-order contingent epiderivative and generalized contingent epiderivative for set-valued maps and obtained some second-order optimality conditions based on these concepts.”