Approximate-Karush-Kuhn-Tucker Conditions and Interval Valued Vector Variational Inequalities

Author:

Keung Lai Kin1,Singh Sanjeev Kumar2,Mishra Shashi Kant2

Affiliation:

1. College of Economics, Shenzhen University, Shenzhen, CHINA

2. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, INDIA

Abstract

This Article deals with the Approximate Karush-Kuhn-Tucker (AKKT) optimality conditions for interval valued multiobjective function as a generalization of Karush-Kuhn-Tucker optimality conditions. Further, we establish relationship between vector variational inequality problems and multiobjective interval valued optimization problems under the assumption of LU−convex smooth and nonsmooth objective functions.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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