TY - JOUR A1 - Vu, Thi Huong A1 - Xu, Hong-Kun A1 - Nguyen, Dong Yen T1 - Stability analysis of split equality and split feasibility problems T2 - Journal of Global Optimization N2 - In this paper, for the first time in the literature, we study the stability of solutions of two classes of feasibility (i.e., split equality and split feasibility) problems by set-valued and variational analysis techniques. Our idea is to equivalently reformulate the feasibility problems as parametric generalized equations to which set-valued and variational analysis techniques apply. Sufficient conditions, as well as necessary conditions, for the Lipschitz-likeness of the involved solution maps are proved by exploiting special structures of the problems and by using an advanced result of B.S. Mordukhovich [J. Global Optim. 28, 347–362 (2004)]. These conditions stand on a solid interaction among all the input data by means of their dual counterparts, which are transposes of matrices and regular/limiting normal cones to sets. Several examples are presented to illustrate how the obtained results work in practice and also show that the assumption on the existence of a nonzero solution used in the necessity conditions cannot be lifted. Y1 - 2025 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/9951 SN - 0925-5001 VL - 92 SP - 411 EP - 429 PB - Springer Science and Business Media LLC ER -