𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lagrangian Duality in Set-Valued Optimization

✍ Scribed by E. Hernández; L. Rodríguez-Marín


Publisher
Springer
Year
2007
Tongue
English
Weight
381 KB
Volume
134
Category
Article
ISSN
0022-3239

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Lagrangian Multipliers, Saddle Points, a
✍ Zhong-Fei Li; Guang-Ya Chen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 266 KB

This paper establishes an alternative theorem for generalized inequality-equality Ž . systems of set-valued maps. Based on this, several Lagrange multiplier type as well as saddle point type necessary and sufficient conditions are obtained for the existence of weak minimizers in vector optimization

Lagrangian Duality for Preinvex Set-Valu
✍ Davinder Bhatia; Aparna Mehra 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 198 KB

In this paper, generalizing the concept of cone convexity, we have defined cone preinvexity for set-valued functions and given an example in support of this generalization. A Farkas᎐Minkowski type theorem has been proved for these functions. A Lagrangian type dual has been defined for a fractional p

Conjugate Duality in Set-Valued Vector O
✍ Wen Song 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 236 KB

In this paper, conjugate duality results for convexlike set-valued vector optimization problems are presented under closedness or boundedness hypotheses. Some properties of the value mapping of a set-valued vector optimization problem are studied. A conjugate duality result is also proved for a conv

Duality for Vector Optimization of Set-V
✍ Wen Song 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 164 KB

In this note, a general cone separation theorem between two subsets of image space is presented. With the aid of this, optimality conditions and duality for vector optimization of set-valued functions in locally convex spaces are discussed.