Results 21 to 30 of about 86 (54)

New second-order radial epiderivatives and applications to optimality conditions

, 2020
In this paper, we introduce the second-order weakly composed radial epiderivative of set-valued maps, discuss its relationship to the second-order weakly composed contingent epiderivative, and obtain some of its properties.
Qilin Wang, Xiaoyan Zhang
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Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions

, 2015
WOS: 000349314300005In this work, we give some characterizations of gw-subdifferentiability of a vector-valued function by using its directional derivative and radial epiderivative.
Küçük, Yalçın, Küçük, Mahide, Güvenc, İlknur Atasever   +2 more
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Scalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivatives

Journal of Mathematical Analysis and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiménez, Bienvenido, Novo, Vicente, Sama, Miguel   +2 more
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Higher order optimality conditions for Henig efficient solutions in set-valued optimization

, 2006
In this paper, higher order generalized contingent epiderivative and higher order generalized adjacent epiderivative of set-valued maps are introduced.
Li, S.J., Chen, C.R.
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Optimality of approximate solutions in set-valued optimization involving subarcwise connected cone-convexity

四川大学学报. 自然科学版, 2017
This note deals with the optimality conditions of approximate solutions in set-valued optimization problems involving generalized arcwise connected convexity in terms of the contingent epiderivative.
YU Guo-Lin, KONG Xiang-Yu, LI Ji-Min
doaj  

Contingent epiderivative and its applications to set-valued optimization

, 1998
In the present paper we give an alternative definition of contingent epiderivative for a set-valued map. We use our concept of contingent epiderivative to formulate necessary and/ or sufficient optimality conditions for a set-valued optimization problem ...
Bednarczuk, E., Song, W.
core  

First order optimality conditions in set-valued optimization [PDF]

A a set-valued optimization problem minC F(x), x 2 X0, is considered, where X0 X, X and Y are Banach spaces, F : X0 Y is a set-valued function and C Y is a closed cone.
Rocca Matteo, Ginchev Ivan, Crespi Giovanni P.   +2 more
core  

Fritz-John type optimality conditions for weak efficient solutions of vector equilibrium problems with constraints in terms of contingent epiderivatives

Applied Mathematical Sciences, 2015
In this paper, Fritz-John type optimality conditions for weak efficient solutions in terms of contingent epiderivatives of vector variational inequalities and vector optimization problems with constraints are derived. Under assumptions on quasiconvexity of scalar functions, Fritz-John type necessary optimality conditions become Fritz-John type ...
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Higher-Order Weakly Generalized Epiderivatives and Applications to Optimality Conditions [PDF]

The notions of higher-order weakly generalized contingent epiderivative and higher-order weakly generalized adjacent epiderivative for set-valued maps are proposed. By virtue of the higher-order weakly generalized contingent adjacent epiderivatives, both
Guolin Yu, Qilin Wang
core  

On generalized $\tau^w$-contingent epiderivatives in parametric vector optimization problems [PDF]

Applied Set-Valued Analysis and Optimization, 2020
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