Journal of Convex Analysis 32 (2025), No. 4, 1241--1254
Copyright Heldermann Verlag 2025
Characterizations of Metric (Sub)Regularity via (Sub)Transversality
Stoyan Apostolov
Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria
sapostolov@fmi.uni-sofia.bg
Mira Bivas
Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria
mira.bivas@math.bas.bg
We obtain some classical characterizations of metric regularity and subregularity in a new and unified way using results for transversality and subtransversality from a recent paper by S. Apostolov, M. Bivas, and N. Ribarska [Characterizations of some transversality-type properties, Set-Valued Var. Analysis 30/3 (2022), art.no. 1041-1060] and the equivalence between (sub)transversality and (sub)regularity.
Keywords: (Sub)transversality, (sub)regularity, primal space characterizations.
MSC: 49J53, 46N10, 90C30.
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