Results 61 to 70 of about 216 (132)
New results on linearly perturbed polyhedral normal cone mappings
, 2011 This paper establishes an exact formula for the Fréchet coderivative and some estimates for the Mordukhovich coderivative of the linearly perturbed normal cone mappings in reflexive Banach spaces.
Qui, Nguyen Thanh, Nguyen Thanh Qui
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Sharp Minima for Multiobjective Optimization in Banach Spaces
, 2006 We study sharp minima for multiobjective optimization problems. In terms of the Mordukhovich coderivative and the normal cone, we present sufficient and or necessary conditions for existence of such sharp minima, some of which are new even in the single ...
Yang, X., Zheng, X., Teo, Kok Lay
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We consider a parametric quasi-variational inequality (QVI) without any convexity assumption. Using the concept of optimal value function, we transform the problem into that of solving a nonsmooth system of inequalities.
Zhou, Shenglong +3 more
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Metric subregularity for nonclosed convex multifunctions in normed spaces
, 2009 In terms of the normal cone and the coderivative, we provide some necessary and/or sufficient conditions of metric subregularity for (not necessarily closed) convex multifunctions in normed spaces. As applications, we present some error bound results for
Xi Yin Zheng +3 more
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Metric regularity relative to a cone
, 2019 The purpose of this paper is to discuss some of the highlights of the theory of metric regularity relative to a cone. For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with ...
Théra, Michel +5 more
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Coderivatives Related to Parametric Extended Trust Region Subproblem and Their Applications
Taiwanese Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Heat kernel for open manifolds
, 2010 It is known that for open manifolds with bounded geometry, the differential form heat kernel exists and is unique. Furthermore, it has been shown that the components of the differential form heat kernel are related via the exterior derivative and the ...
Jones, Trevor H.
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In this paper, we first establish a formula for exactly computing the regular coderivative of the metric projection operator onto closed balls $r\mathbb{B}$ centered at the origin in Hilbert spaces.
Van Hien, Le
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Coderivative-Based Newton Methods with Wolfe Linesearch for Nonsmooth Optimization
This paper introduces and develops novel coderivative-based Newton methods with Wolfe linesearch conditions to solve various classes of problems in nonsmooth optimization.
Zhang, Jin +3 more
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Coderivative-Based Newton Methods in Structured Nonconvex and Nonsmooth Optimization
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 ...
Khanh, Pham Duy +2 more
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