Articles with "nonconvex variational" as a keyword



Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities

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Published in 2017 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-017-1347-6

Abstract: In this paper, we suggest and analyze a new system of extended regularized nonconvex variational inequalities and prove the equivalence between the aforesaid system and a fixed point problem. We introduce a new perturbed projection… read more here.

Keywords: regularized nonconvex; iterative algorithm; variational inequalities; convergence analysis ... See more keywords

Quasi-Lower C2 Functions and Their Application to Nonconvex Variational Problems

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Published in 2024 at "Axioms"

DOI: 10.3390/axioms13120870

Abstract: This study presents a novel category of nonconvex functions in Banach spaces, referred to as quasi-lower C2 functions on nonempty closed sets. We establish the existence of solutions for nonconvex variational problems involving quasi-lower C2… read more here.

Keywords: nonconvex variational; application nonconvex; quasi lower; lower functions ... See more keywords