Generalized Invexity in Relation to Necessary and Sufficient Conditions for Control Problem with Duality

Vol-4 | Issue-5 | May 2019 | Published Online: 25 May 2019    PDF ( )
Author(s)
Parvaiz Ahmad Khan 1; Dr.inderdeep singh 2; Dr.RamKrishan 3

1Department of physical Science Sant Baba Bhagsingh University Punjab

2Department of physical Science Sant Baba Bhagsingh University Punjab

3Department of physical Science Sant Baba Bhagsingh University Punjab

Abstract

Necessary and sufficient conditions for optimal control problems are derived under generalized invexity. different proposition and theorems and Mond-Weir type dual for control problems are approved beneath generalized invexity. These outcomes can be implied to control problems, mathematical programming problems and are linked with problems already existing in literature.

Keywords
Duality, control problems, mathematical programming problems, generalized invexity, optimality.
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