Programming with semilocally quasiconvex functions
type: Item
instance of: scholarly article
title: Programming with semilocally quasiconvex functions
zbMATH Open document ID: 0596.90079
author: R. N. Kaul
published in: Opsearch
publication date: 1986-01-01T00:00:00Z
review text: The concept of semilocally quasiconvex and semilocally pseudoconvex functions was introduced in a previous paper of the author and \textit{S. Kaur} [Eur. J. Oper. Res. 9, 369-377 (1982; Zbl 0501.90090)] as a generalization of quasiconvex and pseudoconvex functions. This paper presents a sufficient condition of Kuhn-Tucker type for a minimization problem in which the objective function and the feasible set are given by semilocally quasiconvex functions. A first order sufficient condition for semilocal pseudoconvexity of a semilocally quasiconvex function is also given.
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 49M37
zbMATH DE Number: 3961358
zbMATH Keywords: semilocally quasiconvex
zbMATH Keywords: semilocally pseudoconvex
zbMATH Keywords: first order sufficient condition
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3961358