Journal of Convex Analysis 33 (2026), No. 1&2, 183--196
Copyright Heldermann Verlag 2026
The Generalized Problem of Bolza
Alexander D. Ioffe
Dept. of Mathematics, Technion, Haifa, Israel
ioffe@technion.ac.il
The paper is a survey of available results concerning the generalized Bolza problem under fairly general assumptions on its component functions that can be extended-real-valued. Specifically, we consider the problem of existence of solutions, necessary conditions and characterization of the value function.
Keywords: Convexity, lower semi-continuity, normal integrand, weak compactness, regularity, Dini-Hadamard subdifferential.
MSC: 49J05, 49J52, 49K05, 49L99.
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