Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Phat, Vo Thanh"'
In this note, we establish the Lipschitz continuity of finite-dimensional globally convex functions on all given balls and global Lipschitz continuity for eligible functions of that type. The Lipschitz constants in both situations draw information so
Externí odkaz:
http://arxiv.org/abs/2408.00586
This paper proposes and develops new Newton-type methods to solve structured nonconvex and nonsmooth optimization problems with justifying their fast local and global convergence by means of advanced tools of variational analysis and generalized diff
Externí odkaz:
http://arxiv.org/abs/2403.04262
The paper is devoted to deriving novel second-order necessary and sufficient optimality conditions for local minimizers in rather general classes of nonsmooth unconstrained and constrained optimization problems in finite-dimensional spaces. The estab
Externí odkaz:
http://arxiv.org/abs/2312.16277
This paper is devoted to a systematic study and characterizations of the fundamental notions of variational and strong variational convexity for lower semicontinuous functions. While these notions have been quite recently introduced by Rockafellar, t
Externí odkaz:
http://arxiv.org/abs/2309.13779
The paper is devoted to a systematic study and characterizations of notions of local maximal monotonicity and their strong counterparts for set-valued operators that appear in variational analysis, optimization, and their applications. We obtain nove
Externí odkaz:
http://arxiv.org/abs/2308.14193
This paper proposes and develops inexact proximal methods for finding stationary points of the sum of a smooth function and a nonsmooth weakly convex one, where an error is present in the calculation of the proximal mapping of the nonsmooth term. A g
Externí odkaz:
http://arxiv.org/abs/2307.15596
This paper addresses the study and characterizations of variational convexity of extended-real-valued functions on Banach spaces. This notion has been recently introduced by Rockafellar, and its importance has been already realized and applied to con
Externí odkaz:
http://arxiv.org/abs/2212.06945
The paper is devoted to the study, characterizations, and applications of variational convexity of functions, the property that has been recently introduced by Rockafellar together with its strong counterpart. First we show that these variational pro
Externí odkaz:
http://arxiv.org/abs/2208.14399
This paper proposes and justifies two globally convergent Newton-type methods to solve unconstrained and constrained problems of nonsmooth optimization by using tools of variational analysis and generalized differentiation. Both methods are coderivat
Externí odkaz:
http://arxiv.org/abs/2109.02093
The paper proposes and develops new globally convergent algorithms of the generalized damped Newton type for solving important classes of nonsmooth optimization problems. These algorithms are based on the theory and calculations of second-order subdi
Externí odkaz:
http://arxiv.org/abs/2101.10555