Effciency conditions for multiobjective fractional variational problem
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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
CitationStefan Mititelu Efficiency conditions for multiobjective fractional variational problems Pp. 162-175, 2000 AMS Classification: 65KIO, 90C29, 26B25. PDF
University of NairobiDepartment of Mathematics and Informatics, Romania.