Search Results - coderivatives of set-valued maps

Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints by Ye, J. J.

“… Fritz John type and Kuhn--Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived…”
Get full text

The Ekeland variational principle for set-valued maps involving coderivatives by 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…”
Get full text

Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization by Xue, Xiaowei

“…The aim of this paper is computing the coderivatives of efficient point and efficient solution set-valued maps in a parametric vector optimization problem…”
Get full text

Coderivatives of gap function for Minty vector variational inequality by Xue, Xiaowei, Zhang, Yu

“… First, we discuss the regular coderivative, the normal coderivative, and the mixed coderivative of a class of set-valued maps…”
Get full text

Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC) by Guigue, A.

“…$ and provide a unique characterization for $V$ in terms of contingent derivative and coderivative for set-valued maps, which extends two previously introduced notions of generalized solution to the Hamilton--Jacobi equation for single objective…”
Get full text

Coderivatives in parametric optimization by Levy, Adam B., Mordukhovich, Boris S.

“… Coderivatives of set-valued mappings are our basic tool to analyze the parametric sensitivity of either stationary points or stationary point-multiplier pairs associated with parameterized optimization problems…”
Get full text

Geometric approach to convex subdifferential calculus by Mordukhovich, Boris S., Nam, Nguyen Mau

“… optimal value/marginal functions, normals to inverse images of sets under set-valued mappings, calculus rules for coderivatives of single-valued and set-valued mappings, and calculating coderivatives…”
Get full text

Estimates for coderivative of solution map in bilevel program by Mao, Weihao

“… In some process of dealing this kind of bilevel programs, difficulties are essentially moved to estimating for coderivative of the solution map…”
Get full text

Sensitivity Analysis in Parametric Convex Vector Optimization by An, Duong Thi Viet, Tung, Le Thanh

“… Namely, the perturbation, weak perturbation, and proper perturbation maps are defined as set-valued maps…”
Get full text

Some Variants of the Ekeland Variational Principle for a Set-Valued Map by Ha, T. X. D.

“…This paper deals with the Ekeland variational principle (EVP) for a set-valued map F with values in a vector space E…”
Get full text

Sufficient conditions for reachability and controllability of discrete systems with phase constraints by Sach, P.H.

“… The main tools one uses are different notions of coderivatives of set-valued maps and normal cones of sets…”
Get full text

Metric regularity of composition set-valued mappings: Metric setting and coderivative conditions by Durea, Marius, Huynh, Van Ngai, Nguyen, Huu Tron, Strugariu, Radu

“…The paper concerns a new method to obtain a proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the unification and refinement of several methods…”
Get full text

Lagrange multipliers for set-valued optimization problems associated with coderivatives by Ha, Truong Xuan Duc

“…In this paper we investigate a vector optimization problem ( P ) where objective and constraints are given by set-valued maps…”
Get full text

A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization by 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 set order relations…”
Get full text

Derivatives and Epiderivatives of Set-Valued Maps by Khan, Akhtar A, Tammer, Christiane, Zălinescu, Constantin

“…In set-valued optimization, derivatives, epiderivatives, and coderivatives of set-valued maps play the most fundamental role…”
Get full text

Sensitivity Analysis for Two-Level Value Functions with Applications to Bilevel Programming by Dempe, S., Mordukhovich, B. S., Zemkoho, A. B.

“… bilevel program appropriate coderivative constructions for the set…”
Get full text

Sensitivity analysis of gap functions for vector variational inequality via coderivatives by Li, S.J., Xue, X.W.

“…The aim of this article is to investigate codifferential properties of a class of set-valued maps and gap function involving vector variational inequality…”
Get full text

Coderivatives of the generalized perturbation maps by Xue, X. W., Li, S. J.

“…This paper is devoted to considering the coderivatives of the generalized perturbation maps in general Banach spaces…”
Get full text

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

“… the Fréchet coderivative of the set-valued gap function related to the (PVEP). By estimating…”
Get full text

Characterizing Generalized Derivatives of Set-Valued Maps: Extending the Tangential and Normal Approaches by Jeffrey Pang, C. H.

“…For a set-valued map, we characterize, in terms of its (unconvexified or convexified…”
Get full text