Zobrazeno 1 - 10
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pro vyhledávání: '"49J52"'
Autor:
Mordukhovich, Boris S., Nguyen, Oanh
The paper is devoted to developing subdifferential theory for set-valued mappings taking values in ordered infinite-dimensional spaces. This study is motivated by applications to problems of vector and set optimization with various constraints in inf
Externí odkaz:
http://arxiv.org/abs/2410.11362
In this paper, approximate optimality conditions and sensitivity analysis in nearly convex optimization are discussed. More precisely, as in the spirit of convex analysis, we introduce the concept of $\varepsilon$-subdifferential for nearly convex fu
Externí odkaz:
http://arxiv.org/abs/2410.04710
We develop sufficient conditions for the existence of the weak sharp minima at infinity property for nonsmooth optimization problems via asymptotic cones and generalized asymptotic functions. Next, we show that these conditions are also useful for st
Externí odkaz:
http://arxiv.org/abs/2410.04695
This paper deals with the regularization of the sum of functions defined on a locally convex spaces through their closed-convex hulls in the bidual space. Different conditions guaranteeing that the closed-convex hull of the sum is the sum of the corr
Externí odkaz:
http://arxiv.org/abs/2410.01436
Autor:
Gebken, Bennet
The Goldstein $\varepsilon$-subdifferential is a relaxed version of the Clarke subdifferential which has recently appeared in several algorithms for nonsmooth optimization. With it comes the notion of $(\varepsilon,\delta)$-critical points, which are
Externí odkaz:
http://arxiv.org/abs/2410.01382
We develop a semismooth Newton framework for the numerical solution of fixed-point equations that are posed in Banach spaces. The framework is motivated by applications in the field of obstacle-type quasi-variational inequalities and implicit obstacl
Externí odkaz:
http://arxiv.org/abs/2409.19637
In this paper, we study Lipschitz continuity of the solution mappings of regularized least-squares problems for which the convex regularizers have (Fenchel) conjugates that are $\mathcal{C}^2$-cone reducible. Our approach, by using Robinson's strong
Externí odkaz:
http://arxiv.org/abs/2409.13118
Autor:
Chamoun, Samara, Zeidan, Vera
In this paper, the study of nonsmooth optimal control problems (P) involving a controlled sweeping process with three main characteristics is launched. First, the sweeping sets C(t) are nonsmooth, unbounded, time-dependent, uniformly prox-regular, an
Externí odkaz:
http://arxiv.org/abs/2409.07722
Autor:
Shikhman, Vladimir
The goal of this paper is to compare alternative stationarity notions in structured nonsmooth optimization (SNO). Here, nonsmoothness is caused by complementarity, vanishing, orthogonality type, switching, or disjunctive constraints. On one side, we
Externí odkaz:
http://arxiv.org/abs/2409.04222
In this paper, we present new equivalent conditions for the growth of proper lower semicontinuous functionals at strict local minimizers. The main conditions are a variant of the so-called tilt stability property of local minimizers and an analog of
Externí odkaz:
http://arxiv.org/abs/2409.01833