On Kuhn-Tucker Problem Related to $\eta$-Convex Functions

Authors

  • Mohsen Rostamian Delavar University of Bojnord
  • Manuel De La Sen University of Basque Country

DOI:

https://doi.org/10.30495/jme.v13i0.785

Keywords:

eta-convex function, Minimization problem, Kuhn-Tucker problem, Mond- Weir duality problem.

Abstract

Using the concept of eta-convex functions as generalization of convex functions, we inquiry about the relation between minimization problem and Kuhn-Tucker problem with new settings and give sucient and necessary optimality condition. Also the relation between minimization problem and it's Mond-Weir dual problem in convex
case is investigated.

Author Biographies

Mohsen Rostamian Delavar, University of Bojnord

Assistant Professor, Department of Mathematics

Manuel De La Sen, University of Basque Country

Professor, Institute of Research and Development of Processes

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Published

2019-01-08

Issue

Vol. 13

Section

Vol. 13, No. 2, (2019)

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