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Vector Optimization Problems with Generalized Functional Constraints in Variable Ordering Structure Setting

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This article aims at studying a special class of constrained vector optimization problems in the setting of a variable ordering structure, having a geometric constraint and finitely many generalized functional… Click to show full abstract

This article aims at studying a special class of constrained vector optimization problems in the setting of a variable ordering structure, having a geometric constraint and finitely many generalized functional constraints. Based on a version of the extended extremal principle, some necessary optimality conditions for a minimal solution of the proposed problem are derived in terms of coderivatives and normal cones.

Keywords: variable ordering; ordering structure; generalized functional; optimization; optimization problems; vector optimization

Journal Title: Journal of Optimization Theory and Applications
Year Published: 2018

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