1Department of Mathematics, Interdisciplinary Research Center for Intelligent Secure Systems, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia 2P. G. Department of Mathematics, MCM DAV College for Women, Chandigarh-36, India 3School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 87-99
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Izhar Ahmad; Arshpreet Kaur; Mahesh Kumar Sharma; Izhar Ahmad; Arshpreet Kaur; Mahesh Kumar Sharma. Robust optimality conditions and duality in semi-infinite multiobjective programming. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 87-99. http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a7/
@article{AMUC_2022_91_1_a7,
author = {Izhar Ahmad and Arshpreet Kaur and Mahesh Kumar Sharma and Izhar Ahmad and Arshpreet Kaur and Mahesh Kumar Sharma},
title = { Robust optimality conditions and duality in semi-infinite multiobjective programming},
journal = {Acta mathematica Universitatis Comenianae},
pages = {87--99},
year = {2022},
volume = {91},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a7/}
}
TY - JOUR
AU - Izhar Ahmad
AU - Arshpreet Kaur
AU - Mahesh Kumar Sharma
AU - Izhar Ahmad
AU - Arshpreet Kaur
AU - Mahesh Kumar Sharma
TI - Robust optimality conditions and duality in semi-infinite multiobjective programming
JO - Acta mathematica Universitatis Comenianae
PY - 2022
SP - 87
EP - 99
VL - 91
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a7/
ID - AMUC_2022_91_1_a7
ER -
%0 Journal Article
%A Izhar Ahmad
%A Arshpreet Kaur
%A Mahesh Kumar Sharma
%A Izhar Ahmad
%A Arshpreet Kaur
%A Mahesh Kumar Sharma
%T Robust optimality conditions and duality in semi-infinite multiobjective programming
%J Acta mathematica Universitatis Comenianae
%D 2022
%P 87-99
%V 91
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a7/
%F AMUC_2022_91_1_a7
A semi-infinite multiobjective programming problem in the face of data uncertainty in the constraints is considered. Robust sufficient optimality conditions for weakly robust efficient, robust efficient and properly robust efficient solutions of the problem are established. The Mond-Weir type dual problem is formulated and appropriate duality results are obtained. Two nontrivial examples are discussed to validate the existence of robust optimality conditions and weak duality theorem. Moreover, a robust fractional analogue of semi-infinite multiobjective problem is presented and robust sufficient optimality conditions and duality results are studied under convexity/generalized convexity
