✦ LIBER ✦

Some nondifferentiable multiobjective programming under generalized d-V-type-I univexity

✍ Scribed by Anurag Jayswal; Rajnish Kumar

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 461 KB
Volume: 229
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.10.023

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we introduce new classes of functions called d-V-type-I univex by extending the definition of d-V-type-I functions and consider a multiobjective optimization problem involving generalized d-V-type-I univex functions. A number of Karush-Kuhn-Tucker-type sufficient optimality conditions are obtained for a feasible solution to be a weak Pareto efficient solution. The Mond-Weir-type duality results are also presented. The results obtained in this paper generalize and extend the previously known result in this area.

📜 SIMILAR VOLUMES

Generalized V-univexity type-I for multi

Generalized V-univexity type-I for multiobjective programming withn-set functions

✍ Vasile Preda; Ioan Stancu-Minasian; Miruna Beldiman; Andreea Mădălina Stancu 📂 Article 📅 2008 🏛 Springer US 🌐 English ⚖ 256 KB

On sufficiency and duality in multiobjec

On sufficiency and duality in multiobjective programming problem under generalizedα-type I univexity

✍ Anurag Jayswal 📂 Article 📅 2009 🏛 Springer US 🌐 English ⚖ 143 KB

Multiobjective Programming under General

Multiobjective Programming under Generalized Type I Invexity

✍ Morgan A. Hanson; Rita Pini; Chanchal Singh 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 115 KB

In this paper we extend a (scalarized) generalized type-I invexity into a vector invexity (V-type I). A number of sufficiency results are established using Lagrange multiplier conditions and under various types of generalized V-type I requirements. Weak, strong, and converse duality theorems are pro

Sufficiency and Duality in Multiobjectiv

Sufficiency and Duality in Multiobjective Programming under Generalized Type I Functions

✍ T. R. Gulati; I. Ahmad; D. Agarwal 📂 Article 📅 2007 🏛 Springer 🌐 English ⚖ 342 KB

Optimality conditions and duality for no

Optimality conditions and duality for nondifferentiable multiobjective programming problems involving d-r-type I functions

✍ Tadeusz Antczak 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 753 KB

weak) Pareto optimal solution d-r-type I objective and constraint functions Optimality conditions Duality a b s t r a c t In this paper, new classes of nondifferentiable functions constituting multiobjective programming problems are introduced. Namely, the classes of d-r-type I objective and constr