Symmetric duality with pseudo-invexity in variational problems
type: Item
instance of: scholarly article
title: Symmetric duality with pseudo-invexity in variational problems
zbMATH Open document ID: 0949.90094
DOI: 10.1016/S0377-2217(99)00067-3
author: Chandal Nahak
author: Sudarsan Nanda
published in: European Journal of Operational Research
publication date: 2000-03-23T00:00:00Z
review text: In 1961, Wolfe, in his pioneering research work, has presented a duality theorem for the theory of nonlinear mathematical programming, by introducing a new variable corresponding to primal constants, for the formation of a dual. It is to be emphasized that the primal can not be obtained by forming the dual of the dual, except in linear programs; but Dantzig, Esenberg, Cottle (1965) and Dorn (1961) have presented the concept of symmetric dual programs, proving the point that the dual of the dual equals the primal. In 1968, Mond and Hanson extended symmetric duality to variational programs. Also many results have been extended by Hanson (1981), Mond and Smart (1988), Mond and Chandra (1988), Nahak and Nanda (1995) using invex functions, pseudo-invex functions, invexity and pseudo-invexity, as and when required. In this paper the authors apply the pseudo-invexity condition to symmetric dual variational problems studied by Smart and Mond (1990); the authors have presented some special cases of these problems under some reasonable assumptions.
reviewed by: Akrur Behera
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 49N15
zbMATH DE Number: 1423585
zbMATH Keywords: symmetric duality
zbMATH Keywords: self-duality
zbMATH Keywords: pseudo-invexity
zbMATH Keywords: symmetric dual variational problems
MaRDI profile type: Publication
cites work: What is invexity?
cites work: Symmetric dual nonlinear programs
cites work: On sufficiency of the Kuhn-Tucker conditions
cites work: Symmetric duality for variational problems
cites work: On duality with generalized convexity
cites work: Duality for variational problems with invexity
cites work: Duality and sufficiency in control problems with invexity
cites work: Duality for Variational Problems with Pseudo-Invexity
cites work: Symmetric duality with invexity in variational problems
cites work: A duality theorem for non-linear programming
full work available at URL: s0377-2217(99)00067-3
OpenAlex ID: W2003404741
description: scientific article; zbMATH DE number 1423585