Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2012; 27(2): 411-423

Printed June 1, 2012

https://doi.org/10.4134/CKMS.2012.27.2.411

Copyright © The Korean Mathematical Society.

Optimality conditions and duality for semi-infinite programming involving semilocally type I-preinvex and related functions

Monika Jaiswal, Shashi Kant Mishra, and Bader Al Shamary

Banaras Hindu University, Banaras Hindu University, Kuwait University

Abstract

Go to

A nondifferentiable nonlinear semi-infinite programming problem is considered, where the functions involved are $\eta$-semidifferentiable type I-preinvex and related functions. Necessary and sufficient optimality conditions are obtained for a nondifferentiable nonlinear semi-infinite programming problem. Also, a Mond-Weir type dual and a general Mond-Weir type dual are formulated for the nondifferentiable semi-infinite programming problem and usual duality results are proved using the concepts of generalized semilocally type I-preinvex and related functions.

Keywords: multiobjective programming, semi-infinite programming, optimality, duality

MSC numbers: 90C29, 90C34, 90C46

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS

more +