Results 21 to 30 of about 86 (54)

Higher-order Mond-Weir duality of set-valued fractional minimax programming problems [PDF]

Yugoslav Journal of Operations Research
In this paper, we consider a set-valued fractional minimax programming problem (abbreviated as SVFMPP) (MFP), in which both the objective and constraint maps are set-valued.
Das Koushik
doaj   +1 more source

Higher order optimality conditions for Henig efficient solutions in set-valued optimization [PDF]

, 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.
core   +1 more source

Higher order weak epiderivatives and applications to duality and optimality conditions [PDF]

, 2009
In this paper, the notions of higher order weak contingent epiderivative and higher order weak adjacent epiderivative for a set-valued map are defined. By virtue of higher order weak adjacent (contingent) epiderivatives and Henig efficiency, we introduce
Li, S., S.J. Li, Li, S.J., Chen, C.R., C.R. Chen, K.L. Teo, Teo, K.L., Chen, C., Teo, Kok Lay   +8 more
core   +1 more source

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
openaire   +1 more source

Contingent epiderivative and its applications to set-valued optimization [PDF]

, 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  

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  

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 ...
openaire   +1 more source

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
openaire   +1 more source