Suchergebnisse - clarke coderivative

The Clarke Coderivative of the Frontier Map in a Multi-objective Optimal Control Problem von Toan, N. T., Thuy, L. Q.

“… By establishing an abstract result on the Clarke coderivative of the frontier map of a multi-objective parametric mathematical programming problem, we derive a formula for computing the Clarke …”
Volltext

Clarke coderivatives of efficient point multifunctions in parametric vector optimization von Chuong, Thai Doan

“… The paper is devoted to the study of the Clarke/circatangent coderivatives of the efficient point multifunction of parametric vector optimization problems in Banach spaces …”
Volltext

Stability of Implicit Multifunctions in Banach Spaces von Huy, N. Q., Kim, D. S., Ninh, K. V.

“… The basic tools of our analysis involve the Clarke subdifferential, the Clarke coderivative of set-valued mappings, and the Ekeland variational principle …”
Volltext

On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations von Wei, Zhou, Yao, Jen-Chih

“… In this paper, we study several types of basic constraint qualifications in terms of Clarke …”
Volltext

Some Minimax Type Results Of Clarke's Generalized Directional Derivative And Point-Coderivative Of Multifunctions von Isac, G., Li, J. L.

Volltext

Metric regularity of a positive order for generalized equations von Chuong, Thai Doan

“… The provided conditions are expressed in terms of the Fréchet coderivative/or the Mordukhovich coderivative/or the Clarke one of the corresponding multifunction formulated the generalized equation …”
Volltext

The Lagrange multiplier rule for super efficiency in vector optimization von Huang, H.

“… In terms of the coderivatives and Clarke's normal cones, we establish Lagrange multiplier rules for super efficiency as necessary or sufficient optimality conditions …”
Volltext

The Ekeland variational principle for set-valued maps involving coderivatives von Ha, Truong Xuan Duc

“… In this paper we use the Fréchet, Clarke, and Mordukhovich coderivatives to obtain variants of the Ekeland variational principle for a set-valued map F and establish optimality conditions for set-valued optimization problems …”
Volltext

The Ekeland variational principle for Henig proper minimizers and super minimizers von Ha, Truong Xuan Duc

“… two versions of the Ekeland variational principle for these points involving coderivatives in the sense of Ioffe, Clarke and Mordukhovich …”
Volltext

Implicit Multifunction Theorems in Banach Spaces von Yang, Ming-ge, Xu, Yi-fan

“… This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces …”
Volltext

Variants of the Ekeland Variational Principle for a set-valued map involving the Clarke Normal Cone von Ha, Truong Xuan Duc

“… In this paper we present two set-valued variants of the Ekeland variational principle involving the Clarke normal cone and establish sufficient conditions for a set-valued map to have a weak minimizer …”
Volltext

Characterization of Convex and Generalized Convex Vector Fields on Riemannian Manifolds von Ghahraei, Elham

“… The inclusive relations between Clarke generalized Jacobian and Mordukhovich coderivative and this subdifferential are proved …”
Volltext

A Unified Approach to Convex and Convexified Generalized Differentiation of Nonsmooth Functions and Set-Valued Mappings von Nam, Nguyen Mau, Hoang, Nguyen Dinh, Rector, R. Blake

“… The primary goal of this paper is to present a unified approach and shed new light on convex and Clarke generalized differentiation theories using the concepts and techniques from Mordukhovich’s developments …”
Volltext

The Fermat rule for multifunctions on Banach spaces von Zheng, Xi Yin, Ng, Kung Fu

“… In particular, in terms of the coderivatives, we present Fermat's rules as necessary conditions for an optimal solution of the above problems …”
Volltext

Approximating Stationary Points of Stochastic Mathematical Programs with Equilibrium Constraints via Sample Averaging von Xu, Huifu, Ye, Jane J.

“… (Clarke)-stationary point of the sample average approximation problem to those of the true problem …”
Volltext

First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints von Zhang, Yi, Wu, Jia, Zhang, Liwei

“… Using the formulas of regular and limiting coderivatives and generalized Clarke’s Jacobian of the projection operator onto second-order cones from the literature, we present the S-, M-, C- and A-stationary conditions for a MPSCC problem …”
Volltext

Another characterization of convexity for set-valued maps von Sach, Pham Huu

“… It is established for a closed map F having nonconvex values. The main tool in this paper is the coderivative of F which is constructed with the help of an abstract subdifferential notion of Penot …”
Volltext

The Linear Nonconvex Generalized Gradient and Lagrange Multipliers von Treiman, Jay S.

“… The generalized gradient is the linear generalized gradient. It is smaller than the generalized gradients of Clarke and Mordukhovich but retains much of their nice calculus …”
Volltext

Generalized Jacobian for Functions with Infinite Dimensional Range and Domain von Páles, Zsolt, Zeidan, Vera

Volltext