3 papers
math.OC2026
Global and local error bounds: characterizations via directional derivatives and tangent cones
Yu Han
We develop new characterizations of both global and local error bounds for general functions, using directional derivatives and tangent cones without imposing convexity or linear s…
math.OC2026
Directional Derivatives and Error Bounds of Merit Functions in Vector Optimization
Yu Han
This paper presents a comprehensive analysis of directional derivatives and error bounds for the merit function associated with the…
math.OC2016
Lower semicontinuity of solution mappings for parametric fixed point problems with applications
Yu Han, Nan-jing Huang
In this paper, we establish the lower semicontinuity of the solution mapping and of the approximate solution mapping for parametric fixed point problems under some suitable conditi…