Výsledky vyhledávání - "coderivative"

On the coderivative of the projection operator onto the positive cone in Hilbert spaces Autor Van Hien, Le, Viet Quan, Nguyen

Získat plný text

On metric subregularity for set-valued mappings under additive perturbations Autor Ouyang, Wei, Zhang, Binbin, Zhu, Jiangxing

“…In this paper, we derive new sufficient conditions together with the moduli estimation for metric subregularity of sum mappings consisting of a set-valued…”
Získat plný text

Point-based characterization of generalized metric subregularity in Asplund spaces Autor Huang, Hui, Liu, Xiaolong, Zhou, Jiangqijun, Zhu, Jiangxing

Získat plný text

Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative Autor Deng, Xicai, Liu, Yibo, Zhong, Chongyi

“…In this paper, the sensitivity analysis of parametric vector equilibrium problems (for short PVEP) is conducted based on the Fréchet coderivative of a…”
Získat plný text

Generalized Metric Subregularity for Generalized Subsmooth Multifunctions in Asplund Spaces Autor Gao, Ming, Ouyang, Wei, Zhang, Jin, Zhu, Jiangxing

“…This paper introduces and considers the concept of generalized subsmoothness of a multifunction, which is a generalization of both the prox-regularity property…”
Získat plný text

On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions Autor Gfrerer, Helmut

“…Variational convexity, together with ist strong counterpart, of extended-real-valued functions has been recently introduced by Rockafellar. In this paper we…”
Získat plný text

Fréchet $$\sigma $$-subdifferential calculus rules and applications Autor Alizadeh, Mohammad Hossein, Zanjani, Alireza Youhannaee

“…We generalize the sum, difference, product, and chain rules for Fréchet σ-subdifferential. Also, we establish necessary optimality conditions for difference…”
Získat plný text

Second-Order Studniarski Derivatives: Computation and Application Autor Jelitte, Mario

“…It is known that second-order Studniarski derivatives can be used to compute tangents to the solution set of a generalized equation when standard (first-order)…”
Získat plný text

Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications Autor Thinh, Vo Duc, Qin, Xiaolong, Yao, Jen-Chih

“…This paper provides formulas for calculating Fréchet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a…”
Získat plný text

Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces Autor Hien, Le Van

“…In this paper, we first derive an exact formula for computing the regular coderivative of the metric projection operator onto closed balls r B centered at the…”
Získat plný text

A Notion of Fenchel Conjugate for Set-Valued Mappings Autor Nam, Nguyen Mau, Sandine, Gary, Thieu, Nguyen Nang, Yen, Nguyen Dong

“…In this paper, we present a novel concept of the Fenchel conjugate for set-valued mappings and investigate its properties in finite and infinite dimensions…”
Získat plný text

Stability of nonhomogeneous split equality and split feasibility problems with possibly nonconvex constraint sets Autor Huong, Vu Thi, Xu, Hong-Kun, Yen, Nguyen Dong

Získat plný text

Nonlinear metric regularity on fixed sets Autor Tron, Nguyen Huu, Han, Dao Ngoc, Ngai, Huynh Van

“…The aim of this paper is to study some new models of nonlinear regularity on fixed sets of set-valued mappings defined on the complete metric spaces. Slope and…”
Získat plný text

Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization Autor An, Duong Thi Viet, Hung, Nguyen Huy, Van Tuyen, Nguyen

“…In this paper, by revisiting coderivative calculus rules for convex multifunctions in finite-dimensional spaces, we derive formulae for estimating/computing…”
Získat plný text

Projectional Coderivatives and Calculus Rules Autor Yao, Wenfang, Meng, Kaiwen, Li, Minghua, Yang, Xiaoqi

“…This paper is devoted to the study of a newly introduced tool, projectional coderivatives, and the corresponding calculus rules in finite dimensional spaces…”
Získat plný text

Lipschitz-like property relative to a set and the generalized Mordukhovich criterion Autor Meng, K. W., Li, M. H., Yao, W. F., Yang, X. Q.

“…In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued mapping to have the Lipschitz-like property…”
Získat plný text

A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization Autor Ha, Truong Xuan Duc

“…In this paper, we follow Kuroiwa's set approach in set optimization, which proposes to compare values of a set-valued objective map F with respect to various…”
Získat plný text

Relationships Between Polyhedral Convex Sets and Generalized Polyhedral Convex Sets Autor Luan, Nguyen Ngoc, Nam, Nguyen Mau, Thieu, Nguyen Nang, Yen, Nguyen Dong

“…In this paper, we study some relationships between polyhedral convex sets and generalized polyhedral convex sets. In particular, we clarify by a counterexample…”
Získat plný text

A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool Autor Maréchal, Matthieu

“…In this study, we examine the Generalized Equations' subregularity in Asplund spaces utilizing a novel approach. We obtain sufficient conditions for a family…”
Získat plný text

On New Generalized Differentials with Respect to a Set and Their Applications Autor Qin, Xiaolong, Duc Thinh, Vo, Yao, Jen-Chih

“…The notions and certain fundamental characteristics of the proximal and limiting normal cones with respect to a set are first presented in this paper. We…”
Získat plný text