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

Authors

  • Tooba Jabarootian
  • Mohammad Reza Mahyarinia

DOI:

https://doi.org/10.30495/jme.v0i0.83

Keywords:

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

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.

Author Biographies

Tooba Jabarootian

Department of Mathematics Assistant Professor of Mathematics Islamic Azad University-khomeiny shahr Branch khomeiny shahr, Isfahan, Iran

Mohammad Reza Mahyarinia

Department of Mathematics Assistant Professor of Mathematics Islamic Azad University-khomeiny shahr Branch khomeiny shahr, Isfahan, Iran

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Published

2011-05-02

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 2(2), (2011)

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