Working Paper Article Version 1 This version is not peer-reviewed

# Local Sharp Vector Variational Type Inequality and Optimization Problems

Version 1 : Received: 4 September 2020 / Approved: 5 September 2020 / Online: 5 September 2020 (04:17:48 CEST)

A peer-reviewed article of this Preprint also exists.

Kim, J.K.; Salahuddin. Local Sharp Vector Variational Type Inequality and Optimization Problems. Mathematics 2020, 8, 1844. Kim, J.K.; Salahuddin. Local Sharp Vector Variational Type Inequality and Optimization Problems. Mathematics 2020, 8, 1844.

Journal reference: Mathematics 2020, 8, 1844
DOI: 10.3390/math8101844

## Abstract

In this paper, our goal is 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 $\eta$-convexity conditions for locally Lipschitzian functions

## Subject Areas

Vector variational type inequality problems; vector optimization problems; efficient solutions; approximate η-convexity; Lipschitzian functions

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