Complementarity set

This paper investigates the stability of solutions for the class of semi-affine variational inequalities in real Hilbert spaces whose feasible set does not depend on parametric. As an application, we obtain the stability of solutions for the parametric quadratically constrained quadratic programming problems in real Hilbert spaces.

9p nhanchienthien 25-07-2023 3 2   Download

In this paper, we study a concept on the calm B-differentiability, a new kind of generalized differentiabilities for a given vector function introduced by Ye and Zhou in 2017, of the projector onto the circular cone. Then, we discuss its applications in mathematical programming problems with circular cone complementarity constraints. Here, this problem can be considered to be a generalization of mathematical programming problems with second-order cone complementarity constraints, and thus it includes a large class of mathematical models in optimization theory.

10p trinhthamhodang9 04-12-2020 14 4   Download

The convergence rates for the regularized solutions is also shown under ordinary conditions in the theory of nonlinear ill-posed problems. We also give a numerical example as an illustration.

8p tamynhan8 04-11-2020 15 2   Download

Phage display technology is a powerful selection approach to identify strong and specific binders to a large variety of targets. In this study, we compared the efficacy of a phage library displaying human heavy chain complementarity determining region 3 (HCDR3) repertoires with a set of conventional random peptide libraries for the identification of CXCR4

12p cosis54 04-01-2013 41 2   Download