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Article

Local Sharp Vector Variational Type Inequality and Optimization Problems

by 1,* and 2
1
Department of Mathematics Education, Kyungnam University, Changwon, Gyeongnam 51767, Korea
2
Department of Mathematics, Jazan University, Jazan-45142, Saudi Arabia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1844; https://doi.org/10.3390/math8101844
Received: 4 September 2020 / Revised: 15 October 2020 / Accepted: 15 October 2020 / Published: 20 October 2020
(This article belongs to the Special Issue Nonlinear Problems and Applications of Fixed Point Theory)
In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, under generalized approximate η-convexity conditions for locally Lipschitzian functions. View Full-Text
Keywords: vector variational type inequality problems; vector optimization problems; efficient solutions; approximate η-convexity; Lipschitzian functions vector variational type inequality problems; vector optimization problems; efficient solutions; approximate η-convexity; Lipschitzian functions
MDPI and ACS Style

Kim, J.K.; Salahuddin. Local Sharp Vector Variational Type Inequality and Optimization Problems. Mathematics 2020, 8, 1844. https://doi.org/10.3390/math8101844

AMA Style

Kim JK, Salahuddin. Local Sharp Vector Variational Type Inequality and Optimization Problems. Mathematics. 2020; 8(10):1844. https://doi.org/10.3390/math8101844

Chicago/Turabian Style

Kim, Jong K., and Salahuddin. 2020. "Local Sharp Vector Variational Type Inequality and Optimization Problems" Mathematics 8, no. 10: 1844. https://doi.org/10.3390/math8101844

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