Normal Cones in Groups and Optimality Conditions

Meenakshi (), Anveksha Moar () and C. S. Lalitha ()
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Meenakshi: University of Delhi
Anveksha Moar: University of Delhi
C. S. Lalitha: University of Delhi South Campus

Journal of Optimization Theory and Applications, 2026, vol. 208, issue 1, No 44, 36 pages

Abstract: Abstract In this paper, we introduce the notion of normal cone to a set in the setting of groups. With appropriate assumptions on the groups involved, we establish various calculus rules including the normal cone intersection rule and the subdifferential sum rule. These results in turn lead to optimality conditions for constrained optimization problems in terms of normal cones and subdifferentials.

Keywords: Convexity; Groups and Monoids; Normal cones; Subdifferentials; Optimality conditions; 49J27; 46N10; 52A01; 90C48 (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/s10957-025-02866-3

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