Effciency conditions for multiobjective fractional variational problem
Abstract
In this paper we define the notion of normal effciency solution.
Necessary conditions for normal effcient solutions of a class of multiobjective fractional variational problem (MFP) with nonlinear equality and inequality constraints are are established using a parametric approach to relate efficient solutions of fractional problems and a non-fractional problems. Also, the sufficiency of these conditions for efficiency solutions in problem (MFP) is established using the ( p,b )-quasiinvexity notion. Particularly, for the multiobjective variational problem (MP), similar results
are derived
URI
http://www.mathem.pub.ro/apps/v10/A10-MI.pdfhttp://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/33424
Citation
Stefan Mititelu Efficiency conditions for multiobjective fractional variational problems Pp. 162-175, 2000 AMS Classification: 65KIO, 90C29, 26B25. PDFPublisher
University of Nairobi Department of Mathematics and Informatics, Romania.