Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints

Mathematics

Suliman Al-Homidan¹  Izhar Ahmad¹  Rekha R. Jaichander²  Krishna Kummari² 

[1] Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad 502329, India;

关键词: Generalized convexity;    robust nonsmooth interval-valued optimization problem;    LU-optimal solution;    optimality;    duality;   

DOI  :  10.3390/math10111787

来源: DOAJ

【 摘 要 】

In this paper, Karush-Kuhn-Tucker type robust necessary optimality conditions for a robust nonsmooth interval-valued optimization problem (UCIVOP) are formulated using the concept of LU-optimal solution and the generalized robust Slater constraint qualification (GRSCQ). These Karush-Kuhn-Tucker type robust necessary conditions are shown to be sufficient optimality conditions under generalized convexity. The Wolfe and Mond-Weir type robust dual problems are formulated over cones using generalized convexity assumptions, and usual duality results are established. The presented results are illustrated by non-trivial examples.

【 授权许可】

Unknown