Semi E-pseudoinvex and Semi E-quasiinvex Functions and Applications

Tooba Jabarootian, Mohammad Reza Mahyarinia

Abstract


In this paper, we introduce three new types of generalized
convex functions, called semi E-pseudoinvex, strictly semi Epseudoinvex
and semi E-quasiinvex functions. Then some of their basic
properties are studied, We used directional derivative and obtain the
new results in this class of functions. As applications of our results, we
obtain optimal solutions for multiobjective programming.

Keywords


Semi E-preinvex functions, semi E-pseudoinvex functions, semi E-quasiinvex functions, multiobjective programming problem.

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