14.06.2025
MDPI AG
A Forward–Backward–Forward Algorithm for Quasi-Variational Inequalities in the Moving Set Case
This paper addresses the challenge of solving quasi-variational inequalities (QVIs) by developing and analyzing a forward–backward–forward algorithm from a continuous and iterative perspective. QVIs extend classical variational inequalities by allowing the constraint set to depend on the decision variable, a formulation that is particularly useful in modeling various problems. A critical computational challenge in these settings is the expensive nature of projection operations, especially when closed-form...
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13.06.2025
Croatian Philosophical Society (Hrvatsko filozofsko drustvo)
What is a Genuine Mathematical Explanation in Empirical Science?
Pitanje iz naslova ovoga članka postavio je Daniele Molinini prije gotovo deset godina, uz tvrdnju da do tada na njega nije bio jasno artikuliran odgovor. Povećana učestalost pojma autentično matematičko objašnjenje može se pratiti unatrag do rada Alana Bakera, objavljenog prije otprilike dvadeset godina. Nažalost i danas, dva desetljeća kasnije, teško možemo tvrditi da je došlo do značajnijeg napretka u razumijevanju pojmovnih nijansi toga izraza. Bakerov pojačani argument neizostavnosti, za razliku...
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