𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Second-Order Symmetric Duality in Nondifferentiable Programming

✍ Scribed by S.H. Hou; X.M. Yang


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
70 KB
Volume
255
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


This article is concerned with a pair of second-order symmetric dual non-differentiable programs and second-order F-pseudo-convexity. We establish the weak and the strong duality theorems for the new pair of dual models under the F-pseudo-convexity assumption. Several known results including Mond and Schechter, as well as others are obtained as special cases.


πŸ“œ SIMILAR VOLUMES


Duality in Nondifferentiable Vector Prog
✍ R. Osuna-GΓ³mez; A. RufiΓ‘n-Lizana; P. Ruı́z-Canales πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 108 KB

In this paper we study the saddle point optimality conditions and Lagrange duality in multiobjective optimization for generalized subconvex-like functions. We obtain results which will allow us to characterize the solutions for multiobjective programming problems from the saddle point conditions and

On Mixed Duality in Mathematical Program
✍ C.R. Bector; Suresh Chandra; Abha πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 87 KB

An incomplete Lagrange function is introduced for a class of nonlinear programming problems which explains the reason behind the construction of the Mond᎐Weir᎐type dual. A mixed-type dual is presented for a class of fractional and generalized fractional programming problems, and various duality theo

Higher-Order Generalized Invexity and Du
✍ Shashi K. Mishra; Norma G. Rueda πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 124 KB

In this paper, we introduce the concepts of higher-order type-I, pseudo-type-I, and quasi-type-I functions and establish various higher-order duality results involving these functions.